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Simplifying (x + -4) * 2 + (y + 16) * 2 = 36 Reorder the terms: (-4 + x) * 2 + (y + 16) * 2 = 36 Reorder the terms for easier multiplication: 2(-4 + x) + (y + 16) * 2 = 36 (-4 * 2 + x * 2) + (y + 16) * 2 = 36 (-8 + 2x) + (y + 16) * 2 = 36 Reorder the terms: -8 + 2x + (16 + y) * 2 = 36 Reorder the terms for easier multiplication: -8 + 2x + 2(16 + y) = 36 -8 + 2x + (16 * 2 + y * 2) = 36 -8 + 2x + (32 + 2y) = 36 Reorder the terms: -8 + 32 + 2x + 2y = 36 Combine like terms: -8 + 32 = 24 24 + 2x + 2y = 36 Solving 24 + 2x + 2y = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 2x + -24 + 2y = 36 + -24 Reorder the terms: 24 + -24 + 2x + 2y = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 2x + 2y = 36 + -24 2x + 2y = 36 + -24 Combine like terms: 36 + -24 = 12 2x + 2y = 12 Add '-2y' to each side of the equation. 2x + 2y + -2y = 12 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 12 + -2y 2x = 12 + -2y Divide each side by '2'. x = 6 + -1y Simplifying x = 6 + -1y
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