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Simplifying -0.107(6000) + 0.4x = 0.02(6000 + x) Multiply -0.107 * 6000 -642 + 0.4x = 0.02(6000 + x) -642 + 0.4x = (6000 * 0.02 + x * 0.02) -642 + 0.4x = (120 + 0.02x) Solving -642 + 0.4x = 120 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -642 + 0.4x + -0.02x = 120 + 0.02x + -0.02x Combine like terms: 0.4x + -0.02x = 0.38x -642 + 0.38x = 120 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -642 + 0.38x = 120 + 0.00 -642 + 0.38x = 120 Add '642' to each side of the equation. -642 + 642 + 0.38x = 120 + 642 Combine like terms: -642 + 642 = 0 0 + 0.38x = 120 + 642 0.38x = 120 + 642 Combine like terms: 120 + 642 = 762 0.38x = 762 Divide each side by '0.38'. x = 2005.263158 Simplifying x = 2005.263158
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