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Simplifying -1x + 2 = x + -1(5 + 3x) Reorder the terms: 2 + -1x = x + -1(5 + 3x) 2 + -1x = x + (5 * -1 + 3x * -1) 2 + -1x = x + (-5 + -3x) Reorder the terms: 2 + -1x = -5 + x + -3x Combine like terms: x + -3x = -2x 2 + -1x = -5 + -2x Solving 2 + -1x = -5 + -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 = -5 + -2x + 2x Combine like terms: -1x + 2x = 1x 2 + 1x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 1x = -5 + 0 2 + 1x = -5 Add '-2' to each side of the equation. 2 + -2 + 1x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -5 + -2 1x = -5 + -2 Combine like terms: -5 + -2 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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