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Simplifying (x + -2) * 2 + (y + 5) * 2 = 32 Reorder the terms: (-2 + x) * 2 + (y + 5) * 2 = 32 Reorder the terms for easier multiplication: 2(-2 + x) + (y + 5) * 2 = 32 (-2 * 2 + x * 2) + (y + 5) * 2 = 32 (-4 + 2x) + (y + 5) * 2 = 32 Reorder the terms: -4 + 2x + (5 + y) * 2 = 32 Reorder the terms for easier multiplication: -4 + 2x + 2(5 + y) = 32 -4 + 2x + (5 * 2 + y * 2) = 32 -4 + 2x + (10 + 2y) = 32 Reorder the terms: -4 + 10 + 2x + 2y = 32 Combine like terms: -4 + 10 = 6 6 + 2x + 2y = 32 Solving 6 + 2x + 2y = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2x + -6 + 2y = 32 + -6 Reorder the terms: 6 + -6 + 2x + 2y = 32 + -6 Combine like terms: 6 + -6 = 0 0 + 2x + 2y = 32 + -6 2x + 2y = 32 + -6 Combine like terms: 32 + -6 = 26 2x + 2y = 26 Add '-2y' to each side of the equation. 2x + 2y + -2y = 26 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 26 + -2y 2x = 26 + -2y Divide each side by '2'. x = 13 + -1y Simplifying x = 13 + -1y
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