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Simplifying 0.20x + 20 = 0.30x + 12 Reorder the terms: 20 + 0.20x = 0.30x + 12 Reorder the terms: 20 + 0.20x = 12 + 0.30x Solving 20 + 0.20x = 12 + 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. 20 + 0.20x + -0.30x = 12 + 0.30x + -0.30x Combine like terms: 0.20x + -0.30x = -0.1x 20 + -0.1x = 12 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 20 + -0.1x = 12 + 0.00 20 + -0.1x = 12 Add '-20' to each side of the equation. 20 + -20 + -0.1x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -0.1x = 12 + -20 -0.1x = 12 + -20 Combine like terms: 12 + -20 = -8 -0.1x = -8 Divide each side by '-0.1'. x = 80 Simplifying x = 80
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