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Simplifying -0.36(8000) + 0.4x = 0.02(8000 + x) Multiply -0.36 * 8000 -2880 + 0.4x = 0.02(8000 + x) -2880 + 0.4x = (8000 * 0.02 + x * 0.02) -2880 + 0.4x = (160 + 0.02x) Solving -2880 + 0.4x = 160 + 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. -2880 + 0.4x + -0.02x = 160 + 0.02x + -0.02x Combine like terms: 0.4x + -0.02x = 0.38x -2880 + 0.38x = 160 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -2880 + 0.38x = 160 + 0.00 -2880 + 0.38x = 160 Add '2880' to each side of the equation. -2880 + 2880 + 0.38x = 160 + 2880 Combine like terms: -2880 + 2880 = 0 0 + 0.38x = 160 + 2880 0.38x = 160 + 2880 Combine like terms: 160 + 2880 = 3040 0.38x = 3040 Divide each side by '0.38'. x = 8000 Simplifying x = 8000
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