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Simplifying 0.5 = 12 + -1.5x Solving 0.5 = 12 + -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. 0.5 + 1.5x = 12 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 0.5 + 1.5x = 12 + 0.0 0.5 + 1.5x = 12 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1.5x = 12 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.5x = 12 + -0.5 1.5x = 12 + -0.5 Combine like terms: 12 + -0.5 = 11.5 1.5x = 11.5 Divide each side by '1.5'. x = 7.666666667 Simplifying x = 7.666666667
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