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Simplifying 0.16x + 0.4(2000) = 0.22(2000 + x) Multiply 0.4 * 2000 0.16x + 800 = 0.22(2000 + x) Reorder the terms: 800 + 0.16x = 0.22(2000 + x) 800 + 0.16x = (2000 * 0.22 + x * 0.22) 800 + 0.16x = (440 + 0.22x) Solving 800 + 0.16x = 440 + 0.22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.22x' to each side of the equation. 800 + 0.16x + -0.22x = 440 + 0.22x + -0.22x Combine like terms: 0.16x + -0.22x = -0.06x 800 + -0.06x = 440 + 0.22x + -0.22x Combine like terms: 0.22x + -0.22x = 0.00 800 + -0.06x = 440 + 0.00 800 + -0.06x = 440 Add '-800' to each side of the equation. 800 + -800 + -0.06x = 440 + -800 Combine like terms: 800 + -800 = 0 0 + -0.06x = 440 + -800 -0.06x = 440 + -800 Combine like terms: 440 + -800 = -360 -0.06x = -360 Divide each side by '-0.06'. x = 6000 Simplifying x = 6000
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