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Simplifying 2x + -4(x + -1) = 5(x + -1) Reorder the terms: 2x + -4(-1 + x) = 5(x + -1) 2x + (-1 * -4 + x * -4) = 5(x + -1) 2x + (4 + -4x) = 5(x + -1) Reorder the terms: 4 + 2x + -4x = 5(x + -1) Combine like terms: 2x + -4x = -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 = -7x 4 + -7x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -7x = -5 + 0 4 + -7x = -5 Add '-4' to each side of the equation. 4 + -4 + -7x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -5 + -4 -7x = -5 + -4 Combine like terms: -5 + -4 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286
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