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Simplifying -1(5 + -1x) + 3(2 + -1x) = 7 (5 * -1 + -1x * -1) + 3(2 + -1x) = 7 (-5 + 1x) + 3(2 + -1x) = 7 -5 + 1x + (2 * 3 + -1x * 3) = 7 -5 + 1x + (6 + -3x) = 7 Reorder the terms: -5 + 6 + 1x + -3x = 7 Combine like terms: -5 + 6 = 1 1 + 1x + -3x = 7 Combine like terms: 1x + -3x = -2x 1 + -2x = 7 Solving 1 + -2x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 7 + -1 -2x = 7 + -1 Combine like terms: 7 + -1 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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