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Simplifying 0.6x + 0.2(10) = 0.5(x + 10) Multiply 0.2 * 10 0.6x + 2 = 0.5(x + 10) Reorder the terms: 2 + 0.6x = 0.5(x + 10) Reorder the terms: 2 + 0.6x = 0.5(10 + x) 2 + 0.6x = (10 * 0.5 + x * 0.5) 2 + 0.6x = (5 + 0.5x) Solving 2 + 0.6x = 5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 2 + 0.6x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x 2 + 0.1x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2 + 0.1x = 5 + 0.0 2 + 0.1x = 5 Add '-2' to each side of the equation. 2 + -2 + 0.1x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 0.1x = 5 + -2 0.1x = 5 + -2 Combine like terms: 5 + -2 = 3 0.1x = 3 Divide each side by '0.1'. x = 30 Simplifying x = 30
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