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Simplifying -2(1 + -8x) + -2x = -34 + -2x (1 * -2 + -8x * -2) + -2x = -34 + -2x (-2 + 16x) + -2x = -34 + -2x Combine like terms: 16x + -2x = 14x -2 + 14x = -34 + -2x Solving -2 + 14x = -34 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 14x + 2x = -34 + -2x + 2x Combine like terms: 14x + 2x = 16x -2 + 16x = -34 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 16x = -34 + 0 -2 + 16x = -34 Add '2' to each side of the equation. -2 + 2 + 16x = -34 + 2 Combine like terms: -2 + 2 = 0 0 + 16x = -34 + 2 16x = -34 + 2 Combine like terms: -34 + 2 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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