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Simplifying -4(5x + -6) + 3(7x + -5) + -5 = 3 + -8 Reorder the terms: -4(-6 + 5x) + 3(7x + -5) + -5 = 3 + -8 (-6 * -4 + 5x * -4) + 3(7x + -5) + -5 = 3 + -8 (24 + -20x) + 3(7x + -5) + -5 = 3 + -8 Reorder the terms: 24 + -20x + 3(-5 + 7x) + -5 = 3 + -8 24 + -20x + (-5 * 3 + 7x * 3) + -5 = 3 + -8 24 + -20x + (-15 + 21x) + -5 = 3 + -8 Reorder the terms: 24 + -15 + -5 + -20x + 21x = 3 + -8 Combine like terms: 24 + -15 = 9 9 + -5 + -20x + 21x = 3 + -8 Combine like terms: 9 + -5 = 4 4 + -20x + 21x = 3 + -8 Combine like terms: -20x + 21x = 1x 4 + 1x = 3 + -8 Combine like terms: 3 + -8 = -5 4 + 1x = -5 Solving 4 + 1x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -5 + -4 1x = -5 + -4 Combine like terms: -5 + -4 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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