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Simplifying 0.45(125) = 0.30(x + 25) Multiply 0.45 * 125 56.25 = 0.30(x + 25) Reorder the terms: 56.25 = 0.30(25 + x) 56.25 = (25 * 0.30 + x * 0.30) 56.25 = (7.5 + 0.30x) Solving 56.25 = 7.5 + 0.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.30x' to each side of the equation. 56.25 + -0.30x = 7.5 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 56.25 + -0.30x = 7.5 + 0.00 56.25 + -0.30x = 7.5 Add '-56.25' to each side of the equation. 56.25 + -56.25 + -0.30x = 7.5 + -56.25 Combine like terms: 56.25 + -56.25 = 0.00 0.00 + -0.30x = 7.5 + -56.25 -0.30x = 7.5 + -56.25 Combine like terms: 7.5 + -56.25 = -48.75 -0.30x = -48.75 Divide each side by '-0.30'. x = 162.5 Simplifying x = 162.5
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