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Simplifying 0.10x + 0.12(70000 + -1x) = 7400 0.10x + (70000 * 0.12 + -1x * 0.12) = 7400 0.10x + (8400 + -0.12x) = 7400 Reorder the terms: 8400 + 0.10x + -0.12x = 7400 Combine like terms: 0.10x + -0.12x = -0.02x 8400 + -0.02x = 7400 Solving 8400 + -0.02x = 7400 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8400' to each side of the equation. 8400 + -8400 + -0.02x = 7400 + -8400 Combine like terms: 8400 + -8400 = 0 0 + -0.02x = 7400 + -8400 -0.02x = 7400 + -8400 Combine like terms: 7400 + -8400 = -1000 -0.02x = -1000 Divide each side by '-0.02'. x = 50000 Simplifying x = 50000
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