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Simplifying -4(5x + -5) + 3(7x + -1) + -8 = 6 + -4 Reorder the terms: -4(-5 + 5x) + 3(7x + -1) + -8 = 6 + -4 (-5 * -4 + 5x * -4) + 3(7x + -1) + -8 = 6 + -4 (20 + -20x) + 3(7x + -1) + -8 = 6 + -4 Reorder the terms: 20 + -20x + 3(-1 + 7x) + -8 = 6 + -4 20 + -20x + (-1 * 3 + 7x * 3) + -8 = 6 + -4 20 + -20x + (-3 + 21x) + -8 = 6 + -4 Reorder the terms: 20 + -3 + -8 + -20x + 21x = 6 + -4 Combine like terms: 20 + -3 = 17 17 + -8 + -20x + 21x = 6 + -4 Combine like terms: 17 + -8 = 9 9 + -20x + 21x = 6 + -4 Combine like terms: -20x + 21x = 1x 9 + 1x = 6 + -4 Combine like terms: 6 + -4 = 2 9 + 1x = 2 Solving 9 + 1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 2 + -9 1x = 2 + -9 Combine like terms: 2 + -9 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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