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Simplifying (x + 5) * 2 + (y + -7) * 2 = 36 Reorder the terms: (5 + x) * 2 + (y + -7) * 2 = 36 Reorder the terms for easier multiplication: 2(5 + x) + (y + -7) * 2 = 36 (5 * 2 + x * 2) + (y + -7) * 2 = 36 (10 + 2x) + (y + -7) * 2 = 36 Reorder the terms: 10 + 2x + (-7 + y) * 2 = 36 Reorder the terms for easier multiplication: 10 + 2x + 2(-7 + y) = 36 10 + 2x + (-7 * 2 + y * 2) = 36 10 + 2x + (-14 + 2y) = 36 Reorder the terms: 10 + -14 + 2x + 2y = 36 Combine like terms: 10 + -14 = -4 -4 + 2x + 2y = 36 Solving -4 + 2x + 2y = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2x + 4 + 2y = 36 + 4 Reorder the terms: -4 + 4 + 2x + 2y = 36 + 4 Combine like terms: -4 + 4 = 0 0 + 2x + 2y = 36 + 4 2x + 2y = 36 + 4 Combine like terms: 36 + 4 = 40 2x + 2y = 40 Add '-2y' to each side of the equation. 2x + 2y + -2y = 40 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 40 + -2y 2x = 40 + -2y Divide each side by '2'. x = 20 + -1y Simplifying x = 20 + -1y
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