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Simplifying (x + -4) * 2 + (y + 6) * 2 = 64 Reorder the terms: (-4 + x) * 2 + (y + 6) * 2 = 64 Reorder the terms for easier multiplication: 2(-4 + x) + (y + 6) * 2 = 64 (-4 * 2 + x * 2) + (y + 6) * 2 = 64 (-8 + 2x) + (y + 6) * 2 = 64 Reorder the terms: -8 + 2x + (6 + y) * 2 = 64 Reorder the terms for easier multiplication: -8 + 2x + 2(6 + y) = 64 -8 + 2x + (6 * 2 + y * 2) = 64 -8 + 2x + (12 + 2y) = 64 Reorder the terms: -8 + 12 + 2x + 2y = 64 Combine like terms: -8 + 12 = 4 4 + 2x + 2y = 64 Solving 4 + 2x + 2y = 64 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 = 64 + -4 Reorder the terms: 4 + -4 + 2x + 2y = 64 + -4 Combine like terms: 4 + -4 = 0 0 + 2x + 2y = 64 + -4 2x + 2y = 64 + -4 Combine like terms: 64 + -4 = 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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