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Simplifying 9x + 750 = 9.5(x + 475) Reorder the terms: 750 + 9x = 9.5(x + 475) Reorder the terms: 750 + 9x = 9.5(475 + x) 750 + 9x = (475 * 9.5 + x * 9.5) 750 + 9x = (4512.5 + 9.5x) Solving 750 + 9x = 4512.5 + 9.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5x' to each side of the equation. 750 + 9x + -9.5x = 4512.5 + 9.5x + -9.5x Combine like terms: 9x + -9.5x = -0.5x 750 + -0.5x = 4512.5 + 9.5x + -9.5x Combine like terms: 9.5x + -9.5x = 0.0 750 + -0.5x = 4512.5 + 0.0 750 + -0.5x = 4512.5 Add '-750' to each side of the equation. 750 + -750 + -0.5x = 4512.5 + -750 Combine like terms: 750 + -750 = 0 0 + -0.5x = 4512.5 + -750 -0.5x = 4512.5 + -750 Combine like terms: 4512.5 + -750 = 3762.5 -0.5x = 3762.5 Divide each side by '-0.5'. x = -7525 Simplifying x = -7525
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