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Simplifying 2x + 160 = 1.20(x + 400) Reorder the terms: 160 + 2x = 1.20(x + 400) Reorder the terms: 160 + 2x = 1.20(400 + x) 160 + 2x = (400 * 1.20 + x * 1.20) 160 + 2x = (480 + 1.20x) Solving 160 + 2x = 480 + 1.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.20x' to each side of the equation. 160 + 2x + -1.20x = 480 + 1.20x + -1.20x Combine like terms: 2x + -1.20x = 0.8x 160 + 0.8x = 480 + 1.20x + -1.20x Combine like terms: 1.20x + -1.20x = 0.00 160 + 0.8x = 480 + 0.00 160 + 0.8x = 480 Add '-160' to each side of the equation. 160 + -160 + 0.8x = 480 + -160 Combine like terms: 160 + -160 = 0 0 + 0.8x = 480 + -160 0.8x = 480 + -160 Combine like terms: 480 + -160 = 320 0.8x = 320 Divide each side by '0.8'. x = 400 Simplifying x = 400
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