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Simplifying 0.12x + 0.15(1000 + -1x) = 102 0.12x + (1000 * 0.15 + -1x * 0.15) = 102 0.12x + (150 + -0.15x) = 102 Reorder the terms: 150 + 0.12x + -0.15x = 102 Combine like terms: 0.12x + -0.15x = -0.03x 150 + -0.03x = 102 Solving 150 + -0.03x = 102 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 + -0.03x = 102 + -150 Combine like terms: 150 + -150 = 0 0 + -0.03x = 102 + -150 -0.03x = 102 + -150 Combine like terms: 102 + -150 = -48 -0.03x = -48 Divide each side by '-0.03'. x = 1600 Simplifying x = 1600
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