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Simplifying 0.5(6 + -1x) = 1.5 + 9 (6 * 0.5 + -1x * 0.5) = 1.5 + 9 (3 + -0.5x) = 1.5 + 9 Combine like terms: 1.5 + 9 = 10.5 3 + -0.5x = 10.5 Solving 3 + -0.5x = 10.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -0.5x = 10.5 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5x = 10.5 + -3 -0.5x = 10.5 + -3 Combine like terms: 10.5 + -3 = 7.5 -0.5x = 7.5 Divide each side by '-0.5'. x = -15 Simplifying x = -15
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