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Simplifying 0.20(x) + 0.25(15) = 0.23(x + 15) Multiply 0.25 * 15 0.20x + 3.75 = 0.23(x + 15) Reorder the terms: 3.75 + 0.20x = 0.23(x + 15) Reorder the terms: 3.75 + 0.20x = 0.23(15 + x) 3.75 + 0.20x = (15 * 0.23 + x * 0.23) 3.75 + 0.20x = (3.45 + 0.23x) Solving 3.75 + 0.20x = 3.45 + 0.23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.23x' to each side of the equation. 3.75 + 0.20x + -0.23x = 3.45 + 0.23x + -0.23x Combine like terms: 0.20x + -0.23x = -0.03x 3.75 + -0.03x = 3.45 + 0.23x + -0.23x Combine like terms: 0.23x + -0.23x = 0.00 3.75 + -0.03x = 3.45 + 0.00 3.75 + -0.03x = 3.45 Add '-3.75' to each side of the equation. 3.75 + -3.75 + -0.03x = 3.45 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + -0.03x = 3.45 + -3.75 -0.03x = 3.45 + -3.75 Combine like terms: 3.45 + -3.75 = -0.3 -0.03x = -0.3 Divide each side by '-0.03'. x = 10 Simplifying x = 10
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