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Simplifying 0.15(x + 1000) = 46500 Reorder the terms: 0.15(1000 + x) = 46500 (1000 * 0.15 + x * 0.15) = 46500 (150 + 0.15x) = 46500 Solving 150 + 0.15x = 46500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -150 + 0.15x = 46500 + -150 Combine like terms: 150 + -150 = 0 0 + 0.15x = 46500 + -150 0.15x = 46500 + -150 Combine like terms: 46500 + -150 = 46350 0.15x = 46350 Divide each side by '0.15'. x = 309000 Simplifying x = 309000
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