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Simplifying 3 + -2(x + -1) + 4x = 5 + -1(2 + -1x) Reorder the terms: 3 + -2(-1 + x) + 4x = 5 + -1(2 + -1x) 3 + (-1 * -2 + x * -2) + 4x = 5 + -1(2 + -1x) 3 + (2 + -2x) + 4x = 5 + -1(2 + -1x) Combine like terms: 3 + 2 = 5 5 + -2x + 4x = 5 + -1(2 + -1x) Combine like terms: -2x + 4x = 2x 5 + 2x = 5 + -1(2 + -1x) 5 + 2x = 5 + (2 * -1 + -1x * -1) 5 + 2x = 5 + (-2 + 1x) Combine like terms: 5 + -2 = 3 5 + 2x = 3 + 1x Solving 5 + 2x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 2x + -1x = 3 + 1x + -1x Combine like terms: 2x + -1x = 1x 5 + 1x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 1x = 3 + 0 5 + 1x = 3 Add '-5' to each side of the equation. 5 + -5 + 1x = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 3 + -5 1x = 3 + -5 Combine like terms: 3 + -5 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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