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Simplifying 3(-1 + -1x) = 5(1 + -4x) + -8 (-1 * 3 + -1x * 3) = 5(1 + -4x) + -8 (-3 + -3x) = 5(1 + -4x) + -8 -3 + -3x = (1 * 5 + -4x * 5) + -8 -3 + -3x = (5 + -20x) + -8 Reorder the terms: -3 + -3x = 5 + -8 + -20x Combine like terms: 5 + -8 = -3 -3 + -3x = -3 + -20x Add '3' to each side of the equation. -3 + 3 + -3x = -3 + 3 + -20x Combine like terms: -3 + 3 = 0 0 + -3x = -3 + 3 + -20x -3x = -3 + 3 + -20x Combine like terms: -3 + 3 = 0 -3x = 0 + -20x -3x = -20x Solving -3x = -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. -3x + 20x = -20x + 20x Combine like terms: -3x + 20x = 17x 17x = -20x + 20x Combine like terms: -20x + 20x = 0 17x = 0 Divide each side by '17'. x = 0 Simplifying x = 0
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