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Simplifying 0.10x + 0.12(x + 500) = 214 Reorder the terms: 0.10x + 0.12(500 + x) = 214 0.10x + (500 * 0.12 + x * 0.12) = 214 0.10x + (60 + 0.12x) = 214 Reorder the terms: 60 + 0.10x + 0.12x = 214 Combine like terms: 0.10x + 0.12x = 0.22x 60 + 0.22x = 214 Solving 60 + 0.22x = 214 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 0.22x = 214 + -60 Combine like terms: 60 + -60 = 0 0 + 0.22x = 214 + -60 0.22x = 214 + -60 Combine like terms: 214 + -60 = 154 0.22x = 154 Divide each side by '0.22'. x = 700 Simplifying x = 700
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