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Simplifying 0.5(3 + -8x) = 20(1 + -0.5x) (3 * 0.5 + -8x * 0.5) = 20(1 + -0.5x) (1.5 + -4x) = 20(1 + -0.5x) 1.5 + -4x = (1 * 20 + -0.5x * 20) 1.5 + -4x = (20 + -10x) Solving 1.5 + -4x = 20 + -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. 1.5 + -4x + 10x = 20 + -10x + 10x Combine like terms: -4x + 10x = 6x 1.5 + 6x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 1.5 + 6x = 20 + 0 1.5 + 6x = 20 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 6x = 20 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 6x = 20 + -1.5 6x = 20 + -1.5 Combine like terms: 20 + -1.5 = 18.5 6x = 18.5 Divide each side by '6'. x = 3.083333333 Simplifying x = 3.083333333
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