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Simplifying 0.10(x + 80) + 0.20x = 8 + 30x Reorder the terms: 0.10(80 + x) + 0.20x = 8 + 30x (80 * 0.10 + x * 0.10) + 0.20x = 8 + 30x (8 + 0.10x) + 0.20x = 8 + 30x Combine like terms: 0.10x + 0.20x = 0.3x 8 + 0.3x = 8 + 30x Add '-8' to each side of the equation. 8 + -8 + 0.3x = 8 + -8 + 30x Combine like terms: 8 + -8 = 0 0 + 0.3x = 8 + -8 + 30x 0.3x = 8 + -8 + 30x Combine like terms: 8 + -8 = 0 0.3x = 0 + 30x 0.3x = 30x Solving 0.3x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 0.3x + -30x = 30x + -30x Combine like terms: 0.3x + -30x = -29.7x -29.7x = 30x + -30x Combine like terms: 30x + -30x = 0 -29.7x = 0 Divide each side by '-29.7'. x = 0 Simplifying x = 0
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