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Simplifying 0.5x + 0.1(30) = 0.3(x + 30) Multiply 0.1 * 30 0.5x + 3 = 0.3(x + 30) Reorder the terms: 3 + 0.5x = 0.3(x + 30) Reorder the terms: 3 + 0.5x = 0.3(30 + x) 3 + 0.5x = (30 * 0.3 + x * 0.3) 3 + 0.5x = (9 + 0.3x) Solving 3 + 0.5x = 9 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 3 + 0.5x + -0.3x = 9 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x 3 + 0.2x = 9 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 3 + 0.2x = 9 + 0.0 3 + 0.2x = 9 Add '-3' to each side of the equation. 3 + -3 + 0.2x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 0.2x = 9 + -3 0.2x = 9 + -3 Combine like terms: 9 + -3 = 6 0.2x = 6 Divide each side by '0.2'. x = 30 Simplifying x = 30
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