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Simplifying 1.5x + 3(2.4 + -1x) = 37.5 + x 1.5x + (2.4 * 3 + -1x * 3) = 37.5 + x 1.5x + (7.2 + -3x) = 37.5 + x Reorder the terms: 7.2 + 1.5x + -3x = 37.5 + x Combine like terms: 1.5x + -3x = -1.5x 7.2 + -1.5x = 37.5 + x Solving 7.2 + -1.5x = 37.5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7.2 + -1.5x + -1x = 37.5 + x + -1x Combine like terms: -1.5x + -1x = -2.5x 7.2 + -2.5x = 37.5 + x + -1x Combine like terms: x + -1x = 0 7.2 + -2.5x = 37.5 + 0 7.2 + -2.5x = 37.5 Add '-7.2' to each side of the equation. 7.2 + -7.2 + -2.5x = 37.5 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -2.5x = 37.5 + -7.2 -2.5x = 37.5 + -7.2 Combine like terms: 37.5 + -7.2 = 30.3 -2.5x = 30.3 Divide each side by '-2.5'. x = -12.12 Simplifying x = -12.12
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