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Simplifying 800 + 5(160 + -1x) = 1440 + x + -160 + x + 2x 800 + (160 * 5 + -1x * 5) = 1440 + x + -160 + x + 2x 800 + (800 + -5x) = 1440 + x + -160 + x + 2x Combine like terms: 800 + 800 = 1600 1600 + -5x = 1440 + x + -160 + x + 2x Reorder the terms: 1600 + -5x = 1440 + -160 + x + x + 2x Combine like terms: 1440 + -160 = 1280 1600 + -5x = 1280 + x + x + 2x Combine like terms: x + x = 2x 1600 + -5x = 1280 + 2x + 2x Combine like terms: 2x + 2x = 4x 1600 + -5x = 1280 + 4x Solving 1600 + -5x = 1280 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1600 + -5x + -4x = 1280 + 4x + -4x Combine like terms: -5x + -4x = -9x 1600 + -9x = 1280 + 4x + -4x Combine like terms: 4x + -4x = 0 1600 + -9x = 1280 + 0 1600 + -9x = 1280 Add '-1600' to each side of the equation. 1600 + -1600 + -9x = 1280 + -1600 Combine like terms: 1600 + -1600 = 0 0 + -9x = 1280 + -1600 -9x = 1280 + -1600 Combine like terms: 1280 + -1600 = -320 -9x = -320 Divide each side by '-9'. x = 35.55555556 Simplifying x = 35.55555556
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