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Simplifying 27x + -8 + -7x = -20x + 20(40x + 2) Reorder the terms: -8 + 27x + -7x = -20x + 20(40x + 2) Combine like terms: 27x + -7x = 20x -8 + 20x = -20x + 20(40x + 2) Reorder the terms: -8 + 20x = -20x + 20(2 + 40x) -8 + 20x = -20x + (2 * 20 + 40x * 20) -8 + 20x = -20x + (40 + 800x) Reorder the terms: -8 + 20x = 40 + -20x + 800x Combine like terms: -20x + 800x = 780x -8 + 20x = 40 + 780x Solving -8 + 20x = 40 + 780x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-780x' to each side of the equation. -8 + 20x + -780x = 40 + 780x + -780x Combine like terms: 20x + -780x = -760x -8 + -760x = 40 + 780x + -780x Combine like terms: 780x + -780x = 0 -8 + -760x = 40 + 0 -8 + -760x = 40 Add '8' to each side of the equation. -8 + 8 + -760x = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -760x = 40 + 8 -760x = 40 + 8 Combine like terms: 40 + 8 = 48 -760x = 48 Divide each side by '-760'. x = -0.06315789474 Simplifying x = -0.06315789474
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