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