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Simplifying 1.5x + 4(2.4 + -1x) = 37.5 + x 1.5x + (2.4 * 4 + -1x * 4) = 37.5 + x 1.5x + (9.6 + -4x) = 37.5 + x Reorder the terms: 9.6 + 1.5x + -4x = 37.5 + x Combine like terms: 1.5x + -4x = -2.5x 9.6 + -2.5x = 37.5 + x Solving 9.6 + -2.5x = 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. 9.6 + -2.5x + -1x = 37.5 + x + -1x Combine like terms: -2.5x + -1x = -3.5x 9.6 + -3.5x = 37.5 + x + -1x Combine like terms: x + -1x = 0 9.6 + -3.5x = 37.5 + 0 9.6 + -3.5x = 37.5 Add '-9.6' to each side of the equation. 9.6 + -9.6 + -3.5x = 37.5 + -9.6 Combine like terms: 9.6 + -9.6 = 0.0 0.0 + -3.5x = 37.5 + -9.6 -3.5x = 37.5 + -9.6 Combine like terms: 37.5 + -9.6 = 27.9 -3.5x = 27.9 Divide each side by '-3.5'. x = -7.971428571 Simplifying x = -7.971428571
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