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Simplifying 2(4 + -3x) = -5(x + -1) (4 * 2 + -3x * 2) = -5(x + -1) (8 + -6x) = -5(x + -1) Reorder the terms: 8 + -6x = -5(-1 + x) 8 + -6x = (-1 * -5 + x * -5) 8 + -6x = (5 + -5x) Solving 8 + -6x = 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. 8 + -6x + 5x = 5 + -5x + 5x Combine like terms: -6x + 5x = -1x 8 + -1x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + -1x = 5 + 0 8 + -1x = 5 Add '-8' to each side of the equation. 8 + -8 + -1x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 5 + -8 -1x = 5 + -8 Combine like terms: 5 + -8 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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