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Simplifying -34 + -2x = -8x + 2(5x + -1) Reorder the terms: -34 + -2x = -8x + 2(-1 + 5x) -34 + -2x = -8x + (-1 * 2 + 5x * 2) -34 + -2x = -8x + (-2 + 10x) Reorder the terms: -34 + -2x = -2 + -8x + 10x Combine like terms: -8x + 10x = 2x -34 + -2x = -2 + 2x Solving -34 + -2x = -2 + 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. -34 + -2x + -2x = -2 + 2x + -2x Combine like terms: -2x + -2x = -4x -34 + -4x = -2 + 2x + -2x Combine like terms: 2x + -2x = 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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