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Simplifying 29.5 + -5.5 = 7.5(3x + 3.5) Combine like terms: 29.5 + -5.5 = 24 24 = 7.5(3x + 3.5) Reorder the terms: 24 = 7.5(3.5 + 3x) 24 = (3.5 * 7.5 + 3x * 7.5) 24 = (26.25 + 22.5x) Solving 24 = 26.25 + 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. 24 + -22.5x = 26.25 + 22.5x + -22.5x Combine like terms: 22.5x + -22.5x = 0.0 24 + -22.5x = 26.25 + 0.0 24 + -22.5x = 26.25 Add '-24' to each side of the equation. 24 + -24 + -22.5x = 26.25 + -24 Combine like terms: 24 + -24 = 0 0 + -22.5x = 26.25 + -24 -22.5x = 26.25 + -24 Combine like terms: 26.25 + -24 = 2.25 -22.5x = 2.25 Divide each side by '-22.5'. x = -0.1 Simplifying x = -0.1
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