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Simplifying -4(5x + -2) + 3(7x + -3) + -8 = 7 + -5 Reorder the terms: -4(-2 + 5x) + 3(7x + -3) + -8 = 7 + -5 (-2 * -4 + 5x * -4) + 3(7x + -3) + -8 = 7 + -5 (8 + -20x) + 3(7x + -3) + -8 = 7 + -5 Reorder the terms: 8 + -20x + 3(-3 + 7x) + -8 = 7 + -5 8 + -20x + (-3 * 3 + 7x * 3) + -8 = 7 + -5 8 + -20x + (-9 + 21x) + -8 = 7 + -5 Reorder the terms: 8 + -9 + -8 + -20x + 21x = 7 + -5 Combine like terms: 8 + -9 = -1 -1 + -8 + -20x + 21x = 7 + -5 Combine like terms: -1 + -8 = -9 -9 + -20x + 21x = 7 + -5 Combine like terms: -20x + 21x = 1x -9 + 1x = 7 + -5 Combine like terms: 7 + -5 = 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 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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