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Simplifying (x + -4) * 2 + (y + -8) * 2 = 0 Reorder the terms: (-4 + x) * 2 + (y + -8) * 2 = 0 Reorder the terms for easier multiplication: 2(-4 + x) + (y + -8) * 2 = 0 (-4 * 2 + x * 2) + (y + -8) * 2 = 0 (-8 + 2x) + (y + -8) * 2 = 0 Reorder the terms: -8 + 2x + (-8 + y) * 2 = 0 Reorder the terms for easier multiplication: -8 + 2x + 2(-8 + y) = 0 -8 + 2x + (-8 * 2 + y * 2) = 0 -8 + 2x + (-16 + 2y) = 0 Reorder the terms: -8 + -16 + 2x + 2y = 0 Combine like terms: -8 + -16 = -24 -24 + 2x + 2y = 0 Solving -24 + 2x + 2y = 0 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 = 0 + 24 Reorder the terms: -24 + 24 + 2x + 2y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 2x + 2y = 0 + 24 2x + 2y = 0 + 24 Combine like terms: 0 + 24 = 24 2x + 2y = 24 Add '-2y' to each side of the equation. 2x + 2y + -2y = 24 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 24 + -2y 2x = 24 + -2y Divide each side by '2'. x = 12 + -1y Simplifying x = 12 + -1y
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