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Simplifying 0.6x + 0.2(50) = 0.5(x + 10) Multiply 0.2 * 50 0.6x + 10 = 0.5(x + 10) Reorder the terms: 10 + 0.6x = 0.5(x + 10) Reorder the terms: 10 + 0.6x = 0.5(10 + x) 10 + 0.6x = (10 * 0.5 + x * 0.5) 10 + 0.6x = (5 + 0.5x) Solving 10 + 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. 10 + 0.6x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x 10 + 0.1x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 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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