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Simplifying 0.15x + 0.07(70000 + -1x) = 6000 0.15x + (70000 * 0.07 + -1x * 0.07) = 6000 0.15x + (4900 + -0.07x) = 6000 Reorder the terms: 4900 + 0.15x + -0.07x = 6000 Combine like terms: 0.15x + -0.07x = 0.08x 4900 + 0.08x = 6000 Solving 4900 + 0.08x = 6000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4900' to each side of the equation. 4900 + -4900 + 0.08x = 6000 + -4900 Combine like terms: 4900 + -4900 = 0 0 + 0.08x = 6000 + -4900 0.08x = 6000 + -4900 Combine like terms: 6000 + -4900 = 1100 0.08x = 1100 Divide each side by '0.08'. x = 13750 Simplifying x = 13750
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