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Simplifying -34 + -4x = -1(8x + 2) Reorder the terms: -34 + -4x = -1(2 + 8x) -34 + -4x = (2 * -1 + 8x * -1) -34 + -4x = (-2 + -8x) Solving -34 + -4x = -2 + -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. -34 + -4x + 8x = -2 + -8x + 8x Combine like terms: -4x + 8x = 4x -34 + 4x = -2 + -8x + 8x Combine like terms: -8x + 8x = 0 -34 + 4x = -2 + 0 -34 + 4x = -2 Add '34' to each side of the equation. -34 + 34 + 4x = -2 + 34 Combine like terms: -34 + 34 = 0 0 + 4x = -2 + 34 4x = -2 + 34 Combine like terms: -2 + 34 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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