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Simplifying 0.60x + -0.30(30 + x) = 0.10(30) 0.60x + (30 * -0.30 + x * -0.30) = 0.10(30) 0.60x + (-9 + -0.30x) = 0.10(30) Reorder the terms: -9 + 0.60x + -0.30x = 0.10(30) Combine like terms: 0.60x + -0.30x = 0.3x -9 + 0.3x = 0.10(30) Multiply 0.10 * 30 -9 + 0.3x = 3 Solving -9 + 0.3x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 0.3x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 0.3x = 3 + 9 0.3x = 3 + 9 Combine like terms: 3 + 9 = 12 0.3x = 12 Divide each side by '0.3'. x = 40 Simplifying x = 40
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