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Simplifying 0.5(2 + -1x) = -1.5x + 8 (2 * 0.5 + -1x * 0.5) = -1.5x + 8 (1 + -0.5x) = -1.5x + 8 Reorder the terms: 1 + -0.5x = 8 + -1.5x Solving 1 + -0.5x = 8 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. 1 + -0.5x + 1.5x = 8 + -1.5x + 1.5x Combine like terms: -0.5x + 1.5x = 1x 1 + 1x = 8 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 1 + 1x = 8 + 0.0 1 + 1x = 8 Add '-1' to each side of the equation. 1 + -1 + 1x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 8 + -1 1x = 8 + -1 Combine like terms: 8 + -1 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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