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Simplifying 4.5(x + 27) = 1.5x + 72 Reorder the terms: 4.5(27 + x) = 1.5x + 72 (27 * 4.5 + x * 4.5) = 1.5x + 72 (121.5 + 4.5x) = 1.5x + 72 Reorder the terms: 121.5 + 4.5x = 72 + 1.5x Solving 121.5 + 4.5x = 72 + 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. 121.5 + 4.5x + -1.5x = 72 + 1.5x + -1.5x Combine like terms: 4.5x + -1.5x = 3x 121.5 + 3x = 72 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 121.5 + 3x = 72 + 0.0 121.5 + 3x = 72 Add '-121.5' to each side of the equation. 121.5 + -121.5 + 3x = 72 + -121.5 Combine like terms: 121.5 + -121.5 = 0.0 0.0 + 3x = 72 + -121.5 3x = 72 + -121.5 Combine like terms: 72 + -121.5 = -49.5 3x = -49.5 Divide each side by '3'. x = -16.5 Simplifying x = -16.5
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