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Simplifying 19(x + y) + 17 = 19(-1x + y) + -21 (x * 19 + y * 19) + 17 = 19(-1x + y) + -21 (19x + 19y) + 17 = 19(-1x + y) + -21 Reorder the terms: 17 + 19x + 19y = 19(-1x + y) + -21 17 + 19x + 19y = (-1x * 19 + y * 19) + -21 17 + 19x + 19y = (-19x + 19y) + -21 Reorder the terms: 17 + 19x + 19y = -21 + -19x + 19y Add '-19y' to each side of the equation. 17 + 19x + 19y + -19y = -21 + -19x + 19y + -19y Combine like terms: 19y + -19y = 0 17 + 19x + 0 = -21 + -19x + 19y + -19y 17 + 19x = -21 + -19x + 19y + -19y Combine like terms: 19y + -19y = 0 17 + 19x = -21 + -19x + 0 17 + 19x = -21 + -19x Solving 17 + 19x = -21 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 17 + 19x + 19x = -21 + -19x + 19x Combine like terms: 19x + 19x = 38x 17 + 38x = -21 + -19x + 19x Combine like terms: -19x + 19x = 0 17 + 38x = -21 + 0 17 + 38x = -21 Add '-17' to each side of the equation. 17 + -17 + 38x = -21 + -17 Combine like terms: 17 + -17 = 0 0 + 38x = -21 + -17 38x = -21 + -17 Combine like terms: -21 + -17 = -38 38x = -38 Divide each side by '38'. x = -1 Simplifying x = -1
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