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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 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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