Encrypt and Decrypt text with RSA in PHP

You can use phpseclib, a pure PHP RSA implementation:

<?php
include('Crypt/RSA.php');

$privatekey = file_get_contents('private.key');

$rsa = new Crypt_RSA();
$rsa->loadKey($privatekey);

$plaintext = new Math_BigInteger('aaaaaa');
echo $rsa->_exponentiate($plaintext)->toBytes();
?>

Security warning: This code snippet is vulnerable to Bleichenbacher's 1998 padding oracle attack. See this answer for better security.

class MyEncryption
{

    public $pubkey = '...public key here...';
    public $privkey = '...private key here...';

    public function encrypt($data)
    {
        if (openssl_public_encrypt($data, $encrypted, $this->pubkey))
            $data = base64_encode($encrypted);
        else
            throw new Exception('Unable to encrypt data. Perhaps it is bigger than the key size?');

        return $data;
    }

    public function decrypt($data)
    {
        if (openssl_private_decrypt(base64_decode($data), $decrypted, $this->privkey))
            $data = $decrypted;
        else
            $data = '';

        return $data;
    }
}