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Simplifying 65 + 0.10x = 35 + 0.20x Solving 65 + 0.10x = 35 + 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. 65 + 0.10x + -0.20x = 35 + 0.20x + -0.20x Combine like terms: 0.10x + -0.20x = -0.1x 65 + -0.1x = 35 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 65 + -0.1x = 35 + 0.00 65 + -0.1x = 35 Add '-65' to each side of the equation. 65 + -65 + -0.1x = 35 + -65 Combine like terms: 65 + -65 = 0 0 + -0.1x = 35 + -65 -0.1x = 35 + -65 Combine like terms: 35 + -65 = -30 -0.1x = -30 Divide each side by '-0.1'. x = 300 Simplifying x = 300
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