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Simplifying 29.5 + -5.5x = 7.5(3x + 5) Reorder the terms: 29.5 + -5.5x = 7.5(5 + 3x) 29.5 + -5.5x = (5 * 7.5 + 3x * 7.5) 29.5 + -5.5x = (37.5 + 22.5x) Solving 29.5 + -5.5x = 37.5 + 22.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22.5x' to each side of the equation. 29.5 + -5.5x + -22.5x = 37.5 + 22.5x + -22.5x Combine like terms: -5.5x + -22.5x = -28x 29.5 + -28x = 37.5 + 22.5x + -22.5x Combine like terms: 22.5x + -22.5x = 0.0 29.5 + -28x = 37.5 + 0.0 29.5 + -28x = 37.5 Add '-29.5' to each side of the equation. 29.5 + -29.5 + -28x = 37.5 + -29.5 Combine like terms: 29.5 + -29.5 = 0.0 0.0 + -28x = 37.5 + -29.5 -28x = 37.5 + -29.5 Combine like terms: 37.5 + -29.5 = 8 -28x = 8 Divide each side by '-28'. x = -0.2857142857 Simplifying x = -0.2857142857
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