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Simplifying (x + -5) * 2 + (y + -7) * 2 = 12 Reorder the terms: (-5 + x) * 2 + (y + -7) * 2 = 12 Reorder the terms for easier multiplication: 2(-5 + x) + (y + -7) * 2 = 12 (-5 * 2 + x * 2) + (y + -7) * 2 = 12 (-10 + 2x) + (y + -7) * 2 = 12 Reorder the terms: -10 + 2x + (-7 + y) * 2 = 12 Reorder the terms for easier multiplication: -10 + 2x + 2(-7 + y) = 12 -10 + 2x + (-7 * 2 + y * 2) = 12 -10 + 2x + (-14 + 2y) = 12 Reorder the terms: -10 + -14 + 2x + 2y = 12 Combine like terms: -10 + -14 = -24 -24 + 2x + 2y = 12 Solving -24 + 2x + 2y = 12 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 = 12 + 24 Reorder the terms: -24 + 24 + 2x + 2y = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 2x + 2y = 12 + 24 2x + 2y = 12 + 24 Combine like terms: 12 + 24 = 36 2x + 2y = 36 Add '-2y' to each side of the equation. 2x + 2y + -2y = 36 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 36 + -2y 2x = 36 + -2y Divide each side by '2'. x = 18 + -1y Simplifying x = 18 + -1y
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