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Simplifying 2(65 + -1y) + 2(65 + -1x) = 130 (65 * 2 + -1y * 2) + 2(65 + -1x) = 130 (130 + -2y) + 2(65 + -1x) = 130 130 + -2y + (65 * 2 + -1x * 2) = 130 130 + -2y + (130 + -2x) = 130 Reorder the terms: 130 + 130 + -2x + -2y = 130 Combine like terms: 130 + 130 = 260 260 + -2x + -2y = 130 Solving 260 + -2x + -2y = 130 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-260' to each side of the equation. 260 + -2x + -260 + -2y = 130 + -260 Reorder the terms: 260 + -260 + -2x + -2y = 130 + -260 Combine like terms: 260 + -260 = 0 0 + -2x + -2y = 130 + -260 -2x + -2y = 130 + -260 Combine like terms: 130 + -260 = -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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