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Simplifying 40 + 0.10x = 30 + 0.20x Solving 40 + 0.10x = 30 + 0.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.20x' to each side of the equation. 40 + 0.10x + -0.20x = 30 + 0.20x + -0.20x Combine like terms: 0.10x + -0.20x = -0.1x 40 + -0.1x = 30 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 40 + -0.1x = 30 + 0.00 40 + -0.1x = 30 Add '-40' to each side of the equation. 40 + -40 + -0.1x = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -0.1x = 30 + -40 -0.1x = 30 + -40 Combine like terms: 30 + -40 = -10 -0.1x = -10 Divide each side by '-0.1'. x = 100 Simplifying x = 100
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