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Simplifying 0.8(x + 4000) = 4000x + 1000 Reorder the terms: 0.8(4000 + x) = 4000x + 1000 (4000 * 0.8 + x * 0.8) = 4000x + 1000 (3200 + 0.8x) = 4000x + 1000 Reorder the terms: 3200 + 0.8x = 1000 + 4000x Solving 3200 + 0.8x = 1000 + 4000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4000x' to each side of the equation. 3200 + 0.8x + -4000x = 1000 + 4000x + -4000x Combine like terms: 0.8x + -4000x = -3999.2x 3200 + -3999.2x = 1000 + 4000x + -4000x Combine like terms: 4000x + -4000x = 0 3200 + -3999.2x = 1000 + 0 3200 + -3999.2x = 1000 Add '-3200' to each side of the equation. 3200 + -3200 + -3999.2x = 1000 + -3200 Combine like terms: 3200 + -3200 = 0 0 + -3999.2x = 1000 + -3200 -3999.2x = 1000 + -3200 Combine like terms: 1000 + -3200 = -2200 -3999.2x = -2200 Divide each side by '-3999.2'. x = 0.550110022 Simplifying x = 0.550110022
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