Find the value of x that satisfies the equation: 19(x + y) + 17 = 19(-x + y) - 21.

Explanation

Starting with the equation 19(x + y) + 17 = 19(-x + y) - 21, expand both sides: 19x + 19y + 17 = -19x + 19y - 21. Subtract 19y from both sides to get 19x + 17 = -19x - 21. Adding 19x to both sides yields 38x + 17 = -21. Subtract 17 from both sides: 38x = -38. Finally, divide both sides by 38 to find x = -1.