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Simplifying 800(30) + 3x = (800 + x) * 1.20 Multiply 800 * 30 24000 + 3x = (800 + x) * 1.20 Reorder the terms for easier multiplication: 24000 + 3x = 1.20(800 + x) 24000 + 3x = (800 * 1.20 + x * 1.20) 24000 + 3x = (960 + 1.20x) Solving 24000 + 3x = 960 + 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. 24000 + 3x + -1.20x = 960 + 1.20x + -1.20x Combine like terms: 3x + -1.20x = 1.8x 24000 + 1.8x = 960 + 1.20x + -1.20x Combine like terms: 1.20x + -1.20x = 0.00 24000 + 1.8x = 960 + 0.00 24000 + 1.8x = 960 Add '-24000' to each side of the equation. 24000 + -24000 + 1.8x = 960 + -24000 Combine like terms: 24000 + -24000 = 0 0 + 1.8x = 960 + -24000 1.8x = 960 + -24000 Combine like terms: 960 + -24000 = -23040 1.8x = -23040 Divide each side by '1.8'. x = -12800 Simplifying x = -12800
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