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Simplifying 1.5 + 3(2.4 + -1x) = 37.5 + x 1.5 + (2.4 * 3 + -1x * 3) = 37.5 + x 1.5 + (7.2 + -3x) = 37.5 + x Combine like terms: 1.5 + 7.2 = 8.7 8.7 + -3x = 37.5 + x Solving 8.7 + -3x = 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. 8.7 + -3x + -1x = 37.5 + x + -1x Combine like terms: -3x + -1x = -4x 8.7 + -4x = 37.5 + x + -1x Combine like terms: x + -1x = 0 8.7 + -4x = 37.5 + 0 8.7 + -4x = 37.5 Add '-8.7' to each side of the equation. 8.7 + -8.7 + -4x = 37.5 + -8.7 Combine like terms: 8.7 + -8.7 = 0.0 0.0 + -4x = 37.5 + -8.7 -4x = 37.5 + -8.7 Combine like terms: 37.5 + -8.7 = 28.8 -4x = 28.8 Divide each side by '-4'. x = -7.2 Simplifying x = -7.2
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