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Simplifying (x + 4) * 2 + (y + -9) * 2 = 144 Reorder the terms: (4 + x) * 2 + (y + -9) * 2 = 144 Reorder the terms for easier multiplication: 2(4 + x) + (y + -9) * 2 = 144 (4 * 2 + x * 2) + (y + -9) * 2 = 144 (8 + 2x) + (y + -9) * 2 = 144 Reorder the terms: 8 + 2x + (-9 + y) * 2 = 144 Reorder the terms for easier multiplication: 8 + 2x + 2(-9 + y) = 144 8 + 2x + (-9 * 2 + y * 2) = 144 8 + 2x + (-18 + 2y) = 144 Reorder the terms: 8 + -18 + 2x + 2y = 144 Combine like terms: 8 + -18 = -10 -10 + 2x + 2y = 144 Solving -10 + 2x + 2y = 144 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2x + 10 + 2y = 144 + 10 Reorder the terms: -10 + 10 + 2x + 2y = 144 + 10 Combine like terms: -10 + 10 = 0 0 + 2x + 2y = 144 + 10 2x + 2y = 144 + 10 Combine like terms: 144 + 10 = 154 2x + 2y = 154 Add '-2y' to each side of the equation. 2x + 2y + -2y = 154 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 154 + -2y 2x = 154 + -2y Divide each side by '2'. x = 77 + -1y Simplifying x = 77 + -1y
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