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Simplifying 0.3x + 0.5(20) = 0.2(x + 30) Multiply 0.5 * 20 0.3x + 10 = 0.2(x + 30) Reorder the terms: 10 + 0.3x = 0.2(x + 30) Reorder the terms: 10 + 0.3x = 0.2(30 + x) 10 + 0.3x = (30 * 0.2 + x * 0.2) 10 + 0.3x = (6 + 0.2x) Solving 10 + 0.3x = 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. 10 + 0.3x + -0.2x = 6 + 0.2x + -0.2x Combine like terms: 0.3x + -0.2x = 0.1x 10 + 0.1x = 6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 10 + 0.1x = 6 + 0.0 10 + 0.1x = 6 Add '-10' to each side of the equation. 10 + -10 + 0.1x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 0.1x = 6 + -10 0.1x = 6 + -10 Combine like terms: 6 + -10 = -4 0.1x = -4 Divide each side by '0.1'. x = -40 Simplifying x = -40
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