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Simplifying -1x + 4 + 2x = 5 + -2(x + -1) Reorder the terms: 4 + -1x + 2x = 5 + -2(x + -1) Combine like terms: -1x + 2x = 1x 4 + 1x = 5 + -2(x + -1) Reorder the terms: 4 + 1x = 5 + -2(-1 + x) 4 + 1x = 5 + (-1 * -2 + x * -2) 4 + 1x = 5 + (2 + -2x) Combine like terms: 5 + 2 = 7 4 + 1x = 7 + -2x Solving 4 + 1x = 7 + -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. 4 + 1x + 2x = 7 + -2x + 2x Combine like terms: 1x + 2x = 3x 4 + 3x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 3x = 7 + 0 4 + 3x = 7 Add '-4' to each side of the equation. 4 + -4 + 3x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 7 + -4 3x = 7 + -4 Combine like terms: 7 + -4 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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