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