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Simplifying 10 + 0.1x = 5 + 0.2x Solving 10 + 0.1x = 5 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 10 + 0.1x + -0.2x = 5 + 0.2x + -0.2x Combine like terms: 0.1x + -0.2x = -0.1x 10 + -0.1x = 5 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 10 + -0.1x = 5 + 0.0 10 + -0.1x = 5 Add '-10' to each side of the equation. 10 + -10 + -0.1x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -0.1x = 5 + -10 -0.1x = 5 + -10 Combine like terms: 5 + -10 = -5 -0.1x = -5 Divide each side by '-0.1'. x = 50 Simplifying x = 50
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