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Simplifying 4x + -2(x + -2) = 5(x + -1) Reorder the terms: 4x + -2(-2 + x) = 5(x + -1) 4x + (-2 * -2 + x * -2) = 5(x + -1) 4x + (4 + -2x) = 5(x + -1) Reorder the terms: 4 + 4x + -2x = 5(x + -1) Combine like terms: 4x + -2x = 2x 4 + 2x = 5(x + -1) Reorder the terms: 4 + 2x = 5(-1 + x) 4 + 2x = (-1 * 5 + x * 5) 4 + 2x = (-5 + 5x) Solving 4 + 2x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 2x + -5x = -5 + 5x + -5x Combine like terms: 2x + -5x = -3x 4 + -3x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -3x = -5 + 0 4 + -3x = -5 Add '-4' to each side of the equation. 4 + -4 + -3x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -5 + -4 -3x = -5 + -4 Combine like terms: -5 + -4 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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