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Simplifying 0.07(70000 + x) = 0.09(70000) + 0.06x (70000 * 0.07 + x * 0.07) = 0.09(70000) + 0.06x (4900 + 0.07x) = 0.09(70000) + 0.06x Multiply 0.09 * 70000 4900 + 0.07x = 6300 + 0.06x Solving 4900 + 0.07x = 6300 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 4900 + 0.07x + -0.06x = 6300 + 0.06x + -0.06x Combine like terms: 0.07x + -0.06x = 0.01x 4900 + 0.01x = 6300 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 4900 + 0.01x = 6300 + 0.00 4900 + 0.01x = 6300 Add '-4900' to each side of the equation. 4900 + -4900 + 0.01x = 6300 + -4900 Combine like terms: 4900 + -4900 = 0 0 + 0.01x = 6300 + -4900 0.01x = 6300 + -4900 Combine like terms: 6300 + -4900 = 1400 0.01x = 1400 Divide each side by '0.01'. x = 140000 Simplifying x = 140000
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