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Simplifying 0.10x + 0.12(x + 1000) = 500 Reorder the terms: 0.10x + 0.12(1000 + x) = 500 0.10x + (1000 * 0.12 + x * 0.12) = 500 0.10x + (120 + 0.12x) = 500 Reorder the terms: 120 + 0.10x + 0.12x = 500 Combine like terms: 0.10x + 0.12x = 0.22x 120 + 0.22x = 500 Solving 120 + 0.22x = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 0.22x = 500 + -120 Combine like terms: 120 + -120 = 0 0 + 0.22x = 500 + -120 0.22x = 500 + -120 Combine like terms: 500 + -120 = 380 0.22x = 380 Divide each side by '0.22'. x = 1727.272727 Simplifying x = 1727.272727
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