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Simplifying -1.40(30) + 0.80x = 0.20(30 + x) Multiply -1.40 * 30 -42 + 0.80x = 0.20(30 + x) -42 + 0.80x = (30 * 0.20 + x * 0.20) -42 + 0.80x = (6 + 0.20x) Solving -42 + 0.80x = 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. -42 + 0.80x + -0.20x = 6 + 0.20x + -0.20x Combine like terms: 0.80x + -0.20x = 0.6x -42 + 0.6x = 6 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 -42 + 0.6x = 6 + 0.00 -42 + 0.6x = 6 Add '42' to each side of the equation. -42 + 42 + 0.6x = 6 + 42 Combine like terms: -42 + 42 = 0 0 + 0.6x = 6 + 42 0.6x = 6 + 42 Combine like terms: 6 + 42 = 48 0.6x = 48 Divide each side by '0.6'. x = 80 Simplifying x = 80
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