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Simplifying (x + 5) * 2 + (y + -9) * 2 = 64 Reorder the terms: (5 + x) * 2 + (y + -9) * 2 = 64 Reorder the terms for easier multiplication: 2(5 + x) + (y + -9) * 2 = 64 (5 * 2 + x * 2) + (y + -9) * 2 = 64 (10 + 2x) + (y + -9) * 2 = 64 Reorder the terms: 10 + 2x + (-9 + y) * 2 = 64 Reorder the terms for easier multiplication: 10 + 2x + 2(-9 + y) = 64 10 + 2x + (-9 * 2 + y * 2) = 64 10 + 2x + (-18 + 2y) = 64 Reorder the terms: 10 + -18 + 2x + 2y = 64 Combine like terms: 10 + -18 = -8 -8 + 2x + 2y = 64 Solving -8 + 2x + 2y = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 2x + 8 + 2y = 64 + 8 Reorder the terms: -8 + 8 + 2x + 2y = 64 + 8 Combine like terms: -8 + 8 = 0 0 + 2x + 2y = 64 + 8 2x + 2y = 64 + 8 Combine like terms: 64 + 8 = 72 2x + 2y = 72 Add '-2y' to each side of the equation. 2x + 2y + -2y = 72 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 72 + -2y 2x = 72 + -2y Divide each side by '2'. x = 36 + -1y Simplifying x = 36 + -1y
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