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Simplifying 0.5x + 0.4(30) = 0.3(x + 20) Multiply 0.4 * 30 0.5x + 12 = 0.3(x + 20) Reorder the terms: 12 + 0.5x = 0.3(x + 20) Reorder the terms: 12 + 0.5x = 0.3(20 + x) 12 + 0.5x = (20 * 0.3 + x * 0.3) 12 + 0.5x = (6 + 0.3x) Solving 12 + 0.5x = 6 + 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. 12 + 0.5x + -0.3x = 6 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x 12 + 0.2x = 6 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 12 + 0.2x = 6 + 0.0 12 + 0.2x = 6 Add '-12' to each side of the equation. 12 + -12 + 0.2x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 0.2x = 6 + -12 0.2x = 6 + -12 Combine like terms: 6 + -12 = -6 0.2x = -6 Divide each side by '0.2'. x = -30 Simplifying x = -30
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