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Simplifying (x + -9) * 2 + (y + -6) * 2 = 100 Reorder the terms: (-9 + x) * 2 + (y + -6) * 2 = 100 Reorder the terms for easier multiplication: 2(-9 + x) + (y + -6) * 2 = 100 (-9 * 2 + x * 2) + (y + -6) * 2 = 100 (-18 + 2x) + (y + -6) * 2 = 100 Reorder the terms: -18 + 2x + (-6 + y) * 2 = 100 Reorder the terms for easier multiplication: -18 + 2x + 2(-6 + y) = 100 -18 + 2x + (-6 * 2 + y * 2) = 100 -18 + 2x + (-12 + 2y) = 100 Reorder the terms: -18 + -12 + 2x + 2y = 100 Combine like terms: -18 + -12 = -30 -30 + 2x + 2y = 100 Solving -30 + 2x + 2y = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 2x + 30 + 2y = 100 + 30 Reorder the terms: -30 + 30 + 2x + 2y = 100 + 30 Combine like terms: -30 + 30 = 0 0 + 2x + 2y = 100 + 30 2x + 2y = 100 + 30 Combine like terms: 100 + 30 = 130 2x + 2y = 130 Add '-2y' to each side of the equation. 2x + 2y + -2y = 130 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 130 + -2y 2x = 130 + -2y Divide each side by '2'. x = 65 + -1y Simplifying x = 65 + -1y
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