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Simplifying -1(4x + -2) = 8x + 26 Reorder the terms: -1(-2 + 4x) = 8x + 26 (-2 * -1 + 4x * -1) = 8x + 26 (2 + -4x) = 8x + 26 Reorder the terms: 2 + -4x = 26 + 8x Solving 2 + -4x = 26 + 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. 2 + -4x + -8x = 26 + 8x + -8x Combine like terms: -4x + -8x = -12x 2 + -12x = 26 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -12x = 26 + 0 2 + -12x = 26 Add '-2' to each side of the equation. 2 + -2 + -12x = 26 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = 26 + -2 -12x = 26 + -2 Combine like terms: 26 + -2 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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