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Simplifying 0.3x + 0.5(20) = 0.1(x + 30) Multiply 0.5 * 20 0.3x + 10 = 0.1(x + 30) Reorder the terms: 10 + 0.3x = 0.1(x + 30) Reorder the terms: 10 + 0.3x = 0.1(30 + x) 10 + 0.3x = (30 * 0.1 + x * 0.1) 10 + 0.3x = (3 + 0.1x) Solving 10 + 0.3x = 3 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 10 + 0.3x + -0.1x = 3 + 0.1x + -0.1x Combine like terms: 0.3x + -0.1x = 0.2x 10 + 0.2x = 3 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 10 + 0.2x = 3 + 0.0 10 + 0.2x = 3 Add '-10' to each side of the equation. 10 + -10 + 0.2x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 0.2x = 3 + -10 0.2x = 3 + -10 Combine like terms: 3 + -10 = -7 0.2x = -7 Divide each side by '0.2'. x = -35 Simplifying x = -35
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