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Simplifying 0.5x + -0.2(30 + x) = 0.5(30) 0.5x + (30 * -0.2 + x * -0.2) = 0.5(30) 0.5x + (-6 + -0.2x) = 0.5(30) Reorder the terms: -6 + 0.5x + -0.2x = 0.5(30) Combine like terms: 0.5x + -0.2x = 0.3x -6 + 0.3x = 0.5(30) Multiply 0.5 * 30 -6 + 0.3x = 15 Solving -6 + 0.3x = 15 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 = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 0.3x = 15 + 6 0.3x = 15 + 6 Combine like terms: 15 + 6 = 21 0.3x = 21 Divide each side by '0.3'. x = 70 Simplifying x = 70
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