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Simplifying -0.20(30) + 0.40x = 0.20(30 + x) Multiply -0.20 * 30 -6 + 0.40x = 0.20(30 + x) -6 + 0.40x = (30 * 0.20 + x * 0.20) -6 + 0.40x = (6 + 0.20x) Solving -6 + 0.40x = 6 + 0.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.20x' to each side of the equation. -6 + 0.40x + -0.20x = 6 + 0.20x + -0.20x Combine like terms: 0.40x + -0.20x = 0.2x -6 + 0.2x = 6 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 -6 + 0.2x = 6 + 0.00 -6 + 0.2x = 6 Add '6' to each side of the equation. -6 + 6 + 0.2x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 0.2x = 6 + 6 0.2x = 6 + 6 Combine like terms: 6 + 6 = 12 0.2x = 12 Divide each side by '0.2'. x = 60 Simplifying x = 60
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