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Simplifying -2(-2x + 7) = 34 + -8x Reorder the terms: -2(7 + -2x) = 34 + -8x (7 * -2 + -2x * -2) = 34 + -8x (-14 + 4x) = 34 + -8x Solving -14 + 4x = 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. -14 + 4x + 8x = 34 + -8x + 8x Combine like terms: 4x + 8x = 12x -14 + 12x = 34 + -8x + 8x Combine like terms: -8x + 8x = 0 -14 + 12x = 34 + 0 -14 + 12x = 34 Add '14' to each side of the equation. -14 + 14 + 12x = 34 + 14 Combine like terms: -14 + 14 = 0 0 + 12x = 34 + 14 12x = 34 + 14 Combine like terms: 34 + 14 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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