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Simplifying -5x + -6(6 + -8x) = 34 + 8x -5x + (6 * -6 + -8x * -6) = 34 + 8x -5x + (-36 + 48x) = 34 + 8x Reorder the terms: -36 + -5x + 48x = 34 + 8x Combine like terms: -5x + 48x = 43x -36 + 43x = 34 + 8x Solving -36 + 43x = 34 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -36 + 43x + -8x = 34 + 8x + -8x Combine like terms: 43x + -8x = 35x -36 + 35x = 34 + 8x + -8x Combine like terms: 8x + -8x = 0 -36 + 35x = 34 + 0 -36 + 35x = 34 Add '36' to each side of the equation. -36 + 36 + 35x = 34 + 36 Combine like terms: -36 + 36 = 0 0 + 35x = 34 + 36 35x = 34 + 36 Combine like terms: 34 + 36 = 70 35x = 70 Divide each side by '35'. x = 2 Simplifying x = 2
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