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Simplifying 2(7 + -1x) + -1(5 + -1x) = 8 (7 * 2 + -1x * 2) + -1(5 + -1x) = 8 (14 + -2x) + -1(5 + -1x) = 8 14 + -2x + (5 * -1 + -1x * -1) = 8 14 + -2x + (-5 + 1x) = 8 Reorder the terms: 14 + -5 + -2x + 1x = 8 Combine like terms: 14 + -5 = 9 9 + -2x + 1x = 8 Combine like terms: -2x + 1x = -1x 9 + -1x = 8 Solving 9 + -1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 8 + -9 -1x = 8 + -9 Combine like terms: 8 + -9 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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