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Simplifying 1.0(x + 80) + 0.20x + 2 = 10 + 0.30x Reorder the terms: 1.0(80 + x) + 0.20x + 2 = 10 + 0.30x (80 * 1.0 + x * 1.0) + 0.20x + 2 = 10 + 0.30x (80 + 1.0x) + 0.20x + 2 = 10 + 0.30x Reorder the terms: 80 + 2 + 1.0x + 0.20x = 10 + 0.30x Combine like terms: 80 + 2 = 82 82 + 1.0x + 0.20x = 10 + 0.30x Combine like terms: 1.0x + 0.20x = 1.2x 82 + 1.2x = 10 + 0.30x Solving 82 + 1.2x = 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. 82 + 1.2x + -0.30x = 10 + 0.30x + -0.30x Combine like terms: 1.2x + -0.30x = 0.9x 82 + 0.9x = 10 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 82 + 0.9x = 10 + 0.00 82 + 0.9x = 10 Add '-82' to each side of the equation. 82 + -82 + 0.9x = 10 + -82 Combine like terms: 82 + -82 = 0 0 + 0.9x = 10 + -82 0.9x = 10 + -82 Combine like terms: 10 + -82 = -72 0.9x = -72 Divide each side by '0.9'. x = -80 Simplifying x = -80
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