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Simplifying 0.5x + 0.3(10) = 0.2(x + 30) Multiply 0.3 * 10 0.5x + 3 = 0.2(x + 30) Reorder the terms: 3 + 0.5x = 0.2(x + 30) Reorder the terms: 3 + 0.5x = 0.2(30 + x) 3 + 0.5x = (30 * 0.2 + x * 0.2) 3 + 0.5x = (6 + 0.2x) Solving 3 + 0.5x = 6 + 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. 3 + 0.5x + -0.2x = 6 + 0.2x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x 3 + 0.3x = 6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 3 + 0.3x = 6 + 0.0 3 + 0.3x = 6 Add '-3' to each side of the equation. 3 + -3 + 0.3x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 0.3x = 6 + -3 0.3x = 6 + -3 Combine like terms: 6 + -3 = 3 0.3x = 3 Divide each side by '0.3'. x = 10 Simplifying x = 10
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