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Simplifying -4(8x + -2) = -26 + 2x Reorder the terms: -4(-2 + 8x) = -26 + 2x (-2 * -4 + 8x * -4) = -26 + 2x (8 + -32x) = -26 + 2x Solving 8 + -32x = -26 + 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. 8 + -32x + -2x = -26 + 2x + -2x Combine like terms: -32x + -2x = -34x 8 + -34x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -34x = -26 + 0 8 + -34x = -26 Add '-8' to each side of the equation. 8 + -8 + -34x = -26 + -8 Combine like terms: 8 + -8 = 0 0 + -34x = -26 + -8 -34x = -26 + -8 Combine like terms: -26 + -8 = -34 -34x = -34 Divide each side by '-34'. x = 1 Simplifying x = 1
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