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Simplifying 0.05(x + 900) = 0.08x Reorder the terms: 0.05(900 + x) = 0.08x (900 * 0.05 + x * 0.05) = 0.08x (45 + 0.05x) = 0.08x Solving 45 + 0.05x = 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. 45 + 0.05x + -0.08x = 0.08x + -0.08x Combine like terms: 0.05x + -0.08x = -0.03x 45 + -0.03x = 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 45 + -0.03x = 0.00 Add '-45' to each side of the equation. 45 + -45 + -0.03x = 0.00 + -45 Combine like terms: 45 + -45 = 0 0 + -0.03x = 0.00 + -45 -0.03x = 0.00 + -45 Combine like terms: 0.00 + -45 = -45 -0.03x = -45 Divide each side by '-0.03'. x = 1500 Simplifying x = 1500
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