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Simplifying (x + -4) * 2 + (y + 12) * 2 = 172 Reorder the terms: (-4 + x) * 2 + (y + 12) * 2 = 172 Reorder the terms for easier multiplication: 2(-4 + x) + (y + 12) * 2 = 172 (-4 * 2 + x * 2) + (y + 12) * 2 = 172 (-8 + 2x) + (y + 12) * 2 = 172 Reorder the terms: -8 + 2x + (12 + y) * 2 = 172 Reorder the terms for easier multiplication: -8 + 2x + 2(12 + y) = 172 -8 + 2x + (12 * 2 + y * 2) = 172 -8 + 2x + (24 + 2y) = 172 Reorder the terms: -8 + 24 + 2x + 2y = 172 Combine like terms: -8 + 24 = 16 16 + 2x + 2y = 172 Solving 16 + 2x + 2y = 172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 2x + -16 + 2y = 172 + -16 Reorder the terms: 16 + -16 + 2x + 2y = 172 + -16 Combine like terms: 16 + -16 = 0 0 + 2x + 2y = 172 + -16 2x + 2y = 172 + -16 Combine like terms: 172 + -16 = 156 2x + 2y = 156 Add '-2y' to each side of the equation. 2x + 2y + -2y = 156 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 156 + -2y 2x = 156 + -2y Divide each side by '2'. x = 78 + -1y Simplifying x = 78 + -1y
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