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Simplifying 0.6x + 0.5(30) = 0.3(x + 20) Multiply 0.5 * 30 0.6x + 15 = 0.3(x + 20) Reorder the terms: 15 + 0.6x = 0.3(x + 20) Reorder the terms: 15 + 0.6x = 0.3(20 + x) 15 + 0.6x = (20 * 0.3 + x * 0.3) 15 + 0.6x = (6 + 0.3x) Solving 15 + 0.6x = 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. 15 + 0.6x + -0.3x = 6 + 0.3x + -0.3x Combine like terms: 0.6x + -0.3x = 0.3x 15 + 0.3x = 6 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 15 + 0.3x = 6 + 0.0 15 + 0.3x = 6 Add '-15' to each side of the equation. 15 + -15 + 0.3x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 0.3x = 6 + -15 0.3x = 6 + -15 Combine like terms: 6 + -15 = -9 0.3x = -9 Divide each side by '0.3'. x = -30 Simplifying x = -30
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