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Simplifying 0.04x + 0.05(x + 1500) = 138 Reorder the terms: 0.04x + 0.05(1500 + x) = 138 0.04x + (1500 * 0.05 + x * 0.05) = 138 0.04x + (75 + 0.05x) = 138 Reorder the terms: 75 + 0.04x + 0.05x = 138 Combine like terms: 0.04x + 0.05x = 0.09x 75 + 0.09x = 138 Solving 75 + 0.09x = 138 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + 0.09x = 138 + -75 Combine like terms: 75 + -75 = 0 0 + 0.09x = 138 + -75 0.09x = 138 + -75 Combine like terms: 138 + -75 = 63 0.09x = 63 Divide each side by '0.09'. x = 700 Simplifying x = 700
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