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Simplifying -2(3x + -1) = 5(4x + -1) + 7 Reorder the terms: -2(-1 + 3x) = 5(4x + -1) + 7 (-1 * -2 + 3x * -2) = 5(4x + -1) + 7 (2 + -6x) = 5(4x + -1) + 7 Reorder the terms: 2 + -6x = 5(-1 + 4x) + 7 2 + -6x = (-1 * 5 + 4x * 5) + 7 2 + -6x = (-5 + 20x) + 7 Reorder the terms: 2 + -6x = -5 + 7 + 20x Combine like terms: -5 + 7 = 2 2 + -6x = 2 + 20x Add '-2' to each side of the equation. 2 + -2 + -6x = 2 + -2 + 20x Combine like terms: 2 + -2 = 0 0 + -6x = 2 + -2 + 20x -6x = 2 + -2 + 20x Combine like terms: 2 + -2 = 0 -6x = 0 + 20x -6x = 20x Solving -6x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -6x + -20x = 20x + -20x Combine like terms: -6x + -20x = -26x -26x = 20x + -20x Combine like terms: 20x + -20x = 0 -26x = 0 Divide each side by '-26'. x = 0 Simplifying x = 0
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