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Simplifying 0.05(1500 + -1x) = x (1500 * 0.05 + -1x * 0.05) = x (75 + -0.05x) = x Solving 75 + -0.05x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 75 + -0.05x + -1x = x + -1x Combine like terms: -0.05x + -1x = -1.05x 75 + -1.05x = x + -1x Combine like terms: x + -1x = 0 75 + -1.05x = 0 Add '-75' to each side of the equation. 75 + -75 + -1.05x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -1.05x = 0 + -75 -1.05x = 0 + -75 Combine like terms: 0 + -75 = -75 -1.05x = -75 Divide each side by '-1.05'. x = 71.42857143 Simplifying x = 71.42857143
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