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Simplifying 800(0.8) + 2x = 1.2(800 + x) Multiply 800 * 0.8 640 + 2x = 1.2(800 + x) 640 + 2x = (800 * 1.2 + x * 1.2) 640 + 2x = (960 + 1.2x) Solving 640 + 2x = 960 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 640 + 2x + -1.2x = 960 + 1.2x + -1.2x Combine like terms: 2x + -1.2x = 0.8x 640 + 0.8x = 960 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 640 + 0.8x = 960 + 0.0 640 + 0.8x = 960 Add '-640' to each side of the equation. 640 + -640 + 0.8x = 960 + -640 Combine like terms: 640 + -640 = 0 0 + 0.8x = 960 + -640 0.8x = 960 + -640 Combine like terms: 960 + -640 = 320 0.8x = 320 Divide each side by '0.8'. x = 400 Simplifying x = 400
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