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Simplifying 43.5 = 1.5(x + 1) + x Reorder the terms: 43.5 = 1.5(1 + x) + x 43.5 = (1 * 1.5 + x * 1.5) + x 43.5 = (1.5 + 1.5x) + x Combine like terms: 1.5x + x = 2.5x 43.5 = 1.5 + 2.5x Solving 43.5 = 1.5 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 43.5 + -2.5x = 1.5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 43.5 + -2.5x = 1.5 + 0.0 43.5 + -2.5x = 1.5 Add '-43.5' to each side of the equation. 43.5 + -43.5 + -2.5x = 1.5 + -43.5 Combine like terms: 43.5 + -43.5 = 0.0 0.0 + -2.5x = 1.5 + -43.5 -2.5x = 1.5 + -43.5 Combine like terms: 1.5 + -43.5 = -42 -2.5x = -42 Divide each side by '-2.5'. x = 16.8 Simplifying x = 16.8
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