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Simplifying 4(2 + -1x) = 5(1 + -2x) (2 * 4 + -1x * 4) = 5(1 + -2x) (8 + -4x) = 5(1 + -2x) 8 + -4x = (1 * 5 + -2x * 5) 8 + -4x = (5 + -10x) Solving 8 + -4x = 5 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 8 + -4x + 10x = 5 + -10x + 10x Combine like terms: -4x + 10x = 6x 8 + 6x = 5 + -10x + 10x Combine like terms: -10x + 10x = 0 8 + 6x = 5 + 0 8 + 6x = 5 Add '-8' to each side of the equation. 8 + -8 + 6x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 5 + -8 6x = 5 + -8 Combine like terms: 5 + -8 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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