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Simplifying 2x + 26 = -4(2 + 8x) Reorder the terms: 26 + 2x = -4(2 + 8x) 26 + 2x = (2 * -4 + 8x * -4) 26 + 2x = (-8 + -32x) Solving 26 + 2x = -8 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 26 + 2x + 32x = -8 + -32x + 32x Combine like terms: 2x + 32x = 34x 26 + 34x = -8 + -32x + 32x Combine like terms: -32x + 32x = 0 26 + 34x = -8 + 0 26 + 34x = -8 Add '-26' to each side of the equation. 26 + -26 + 34x = -8 + -26 Combine like terms: 26 + -26 = 0 0 + 34x = -8 + -26 34x = -8 + -26 Combine like terms: -8 + -26 = -34 34x = -34 Divide each side by '34'. x = -1 Simplifying x = -1
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