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Simplifying 0.04x + 0.12(10000 + -1x) = 700 0.04x + (10000 * 0.12 + -1x * 0.12) = 700 0.04x + (1200 + -0.12x) = 700 Reorder the terms: 1200 + 0.04x + -0.12x = 700 Combine like terms: 0.04x + -0.12x = -0.08x 1200 + -0.08x = 700 Solving 1200 + -0.08x = 700 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1200' to each side of the equation. 1200 + -1200 + -0.08x = 700 + -1200 Combine like terms: 1200 + -1200 = 0 0 + -0.08x = 700 + -1200 -0.08x = 700 + -1200 Combine like terms: 700 + -1200 = -500 -0.08x = -500 Divide each side by '-0.08'. x = 6250 Simplifying x = 6250
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