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Simplifying 0.5x + 0.5(10) = 0.2(x + 10) Multiply 0.5 * 10 0.5x + 5 = 0.2(x + 10) Reorder the terms: 5 + 0.5x = 0.2(x + 10) Reorder the terms: 5 + 0.5x = 0.2(10 + x) 5 + 0.5x = (10 * 0.2 + x * 0.2) 5 + 0.5x = (2 + 0.2x) Solving 5 + 0.5x = 2 + 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. 5 + 0.5x + -0.2x = 2 + 0.2x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x 5 + 0.3x = 2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 5 + 0.3x = 2 + 0.0 5 + 0.3x = 2 Add '-5' to each side of the equation. 5 + -5 + 0.3x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 0.3x = 2 + -5 0.3x = 2 + -5 Combine like terms: 2 + -5 = -3 0.3x = -3 Divide each side by '0.3'. x = -10 Simplifying x = -10
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