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Simplifying 10(x + 80) + 0.20x + 2 = 10 + 0.30x Reorder the terms: 10(80 + x) + 0.20x + 2 = 10 + 0.30x (80 * 10 + x * 10) + 0.20x + 2 = 10 + 0.30x (800 + 10x) + 0.20x + 2 = 10 + 0.30x Reorder the terms: 800 + 2 + 10x + 0.20x = 10 + 0.30x Combine like terms: 800 + 2 = 802 802 + 10x + 0.20x = 10 + 0.30x Combine like terms: 10x + 0.20x = 10.2x 802 + 10.2x = 10 + 0.30x Solving 802 + 10.2x = 10 + 0.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.30x' to each side of the equation. 802 + 10.2x + -0.30x = 10 + 0.30x + -0.30x Combine like terms: 10.2x + -0.30x = 9.9x 802 + 9.9x = 10 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 802 + 9.9x = 10 + 0.00 802 + 9.9x = 10 Add '-802' to each side of the equation. 802 + -802 + 9.9x = 10 + -802 Combine like terms: 802 + -802 = 0 0 + 9.9x = 10 + -802 9.9x = 10 + -802 Combine like terms: 10 + -802 = -792 9.9x = -792 Divide each side by '9.9'. x = -80 Simplifying x = -80
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