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Simplifying 0.5x + -0.2(30 + x) = 0.3(30) 0.5x + (30 * -0.2 + x * -0.2) = 0.3(30) 0.5x + (-6 + -0.2x) = 0.3(30) Reorder the terms: -6 + 0.5x + -0.2x = 0.3(30) Combine like terms: 0.5x + -0.2x = 0.3x -6 + 0.3x = 0.3(30) Multiply 0.3 * 30 -6 + 0.3x = 9 Solving -6 + 0.3x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 0.3x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 0.3x = 9 + 6 0.3x = 9 + 6 Combine like terms: 9 + 6 = 15 0.3x = 15 Divide each side by '0.3'. x = 50 Simplifying x = 50
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