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Simplifying 0.04(90) + 0.07x = 0.05(90 + x) Multiply 0.04 * 90 3.6 + 0.07x = 0.05(90 + x) 3.6 + 0.07x = (90 * 0.05 + x * 0.05) 3.6 + 0.07x = (4.5 + 0.05x) Solving 3.6 + 0.07x = 4.5 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 3.6 + 0.07x + -0.05x = 4.5 + 0.05x + -0.05x Combine like terms: 0.07x + -0.05x = 0.02x 3.6 + 0.02x = 4.5 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 3.6 + 0.02x = 4.5 + 0.00 3.6 + 0.02x = 4.5 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 0.02x = 4.5 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 0.02x = 4.5 + -3.6 0.02x = 4.5 + -3.6 Combine like terms: 4.5 + -3.6 = 0.9 0.02x = 0.9 Divide each side by '0.02'. x = 45 Simplifying x = 45
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