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Simplifying -8x + -4(6 + -5x) = 49 + -1(5 + -3x) -8x + (6 * -4 + -5x * -4) = 49 + -1(5 + -3x) -8x + (-24 + 20x) = 49 + -1(5 + -3x) Reorder the terms: -24 + -8x + 20x = 49 + -1(5 + -3x) Combine like terms: -8x + 20x = 12x -24 + 12x = 49 + -1(5 + -3x) -24 + 12x = 49 + (5 * -1 + -3x * -1) -24 + 12x = 49 + (-5 + 3x) Combine like terms: 49 + -5 = 44 -24 + 12x = 44 + 3x Solving -24 + 12x = 44 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -24 + 12x + -3x = 44 + 3x + -3x Combine like terms: 12x + -3x = 9x -24 + 9x = 44 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 9x = 44 + 0 -24 + 9x = 44 Add '24' to each side of the equation. -24 + 24 + 9x = 44 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = 44 + 24 9x = 44 + 24 Combine like terms: 44 + 24 = 68 9x = 68 Divide each side by '9'. x = 7.555555556 Simplifying x = 7.555555556
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