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Simplifying -4(5x + -7) + 3(7x + -1) + -7 = 7 + -8 Reorder the terms: -4(-7 + 5x) + 3(7x + -1) + -7 = 7 + -8 (-7 * -4 + 5x * -4) + 3(7x + -1) + -7 = 7 + -8 (28 + -20x) + 3(7x + -1) + -7 = 7 + -8 Reorder the terms: 28 + -20x + 3(-1 + 7x) + -7 = 7 + -8 28 + -20x + (-1 * 3 + 7x * 3) + -7 = 7 + -8 28 + -20x + (-3 + 21x) + -7 = 7 + -8 Reorder the terms: 28 + -3 + -7 + -20x + 21x = 7 + -8 Combine like terms: 28 + -3 = 25 25 + -7 + -20x + 21x = 7 + -8 Combine like terms: 25 + -7 = 18 18 + -20x + 21x = 7 + -8 Combine like terms: -20x + 21x = 1x 18 + 1x = 7 + -8 Combine like terms: 7 + -8 = -1 18 + 1x = -1 Solving 18 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1x = -1 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = -1 + -18 1x = -1 + -18 Combine like terms: -1 + -18 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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