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Simplifying 12 = 1.5(45 + -1x) 12 = (45 * 1.5 + -1x * 1.5) 12 = (67.5 + -1.5x) Solving 12 = 67.5 + -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. 12 + 1.5x = 67.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 12 + 1.5x = 67.5 + 0.0 12 + 1.5x = 67.5 Add '-12' to each side of the equation. 12 + -12 + 1.5x = 67.5 + -12 Combine like terms: 12 + -12 = 0 0 + 1.5x = 67.5 + -12 1.5x = 67.5 + -12 Combine like terms: 67.5 + -12 = 55.5 1.5x = 55.5 Divide each side by '1.5'. x = 37 Simplifying x = 37
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