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Simplifying 0.10x + 0.12(x + 1500) = 642 Reorder the terms: 0.10x + 0.12(1500 + x) = 642 0.10x + (1500 * 0.12 + x * 0.12) = 642 0.10x + (180 + 0.12x) = 642 Reorder the terms: 180 + 0.10x + 0.12x = 642 Combine like terms: 0.10x + 0.12x = 0.22x 180 + 0.22x = 642 Solving 180 + 0.22x = 642 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180' to each side of the equation. 180 + -180 + 0.22x = 642 + -180 Combine like terms: 180 + -180 = 0 0 + 0.22x = 642 + -180 0.22x = 642 + -180 Combine like terms: 642 + -180 = 462 0.22x = 462 Divide each side by '0.22'. x = 2100 Simplifying x = 2100
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