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Simplifying 7.5(x + 1) = -0.5x + 32.5 Reorder the terms: 7.5(1 + x) = -0.5x + 32.5 (1 * 7.5 + x * 7.5) = -0.5x + 32.5 (7.5 + 7.5x) = -0.5x + 32.5 Reorder the terms: 7.5 + 7.5x = 32.5 + -0.5x Solving 7.5 + 7.5x = 32.5 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 7.5 + 7.5x + 0.5x = 32.5 + -0.5x + 0.5x Combine like terms: 7.5x + 0.5x = 8x 7.5 + 8x = 32.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 7.5 + 8x = 32.5 + 0.0 7.5 + 8x = 32.5 Add '-7.5' to each side of the equation. 7.5 + -7.5 + 8x = 32.5 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 8x = 32.5 + -7.5 8x = 32.5 + -7.5 Combine like terms: 32.5 + -7.5 = 25 8x = 25 Divide each side by '8'. x = 3.125 Simplifying x = 3.125
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