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Simplifying -8x + 6(8x + -6) = 5x + 34 Reorder the terms: -8x + 6(-6 + 8x) = 5x + 34 -8x + (-6 * 6 + 8x * 6) = 5x + 34 -8x + (-36 + 48x) = 5x + 34 Reorder the terms: -36 + -8x + 48x = 5x + 34 Combine like terms: -8x + 48x = 40x -36 + 40x = 5x + 34 Reorder the terms: -36 + 40x = 34 + 5x Solving -36 + 40x = 34 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -36 + 40x + -5x = 34 + 5x + -5x Combine like terms: 40x + -5x = 35x -36 + 35x = 34 + 5x + -5x Combine like terms: 5x + -5x = 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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