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