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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 = 60 2x + 2y = 60 Add '-2y' to each side of the equation. 2x + 2y + -2y = 60 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 60 + -2y 2x = 60 + -2y Divide each side by '2'. x = 30 + -1y Simplifying x = 30 + -1y
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