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Simplifying 1.5(5 + -1x) = 3x + 12 (5 * 1.5 + -1x * 1.5) = 3x + 12 (7.5 + -1.5x) = 3x + 12 Reorder the terms: 7.5 + -1.5x = 12 + 3x Solving 7.5 + -1.5x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7.5 + -1.5x + -3x = 12 + 3x + -3x Combine like terms: -1.5x + -3x = -4.5x 7.5 + -4.5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 7.5 + -4.5x = 12 + 0 7.5 + -4.5x = 12 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -4.5x = 12 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -4.5x = 12 + -7.5 -4.5x = 12 + -7.5 Combine like terms: 12 + -7.5 = 4.5 -4.5x = 4.5 Divide each side by '-4.5'. x = -1 Simplifying x = -1
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