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Simplifying 8x + 26 = 6(-2x + -6) + 2 Reorder the terms: 26 + 8x = 6(-2x + -6) + 2 Reorder the terms: 26 + 8x = 6(-6 + -2x) + 2 26 + 8x = (-6 * 6 + -2x * 6) + 2 26 + 8x = (-36 + -12x) + 2 Reorder the terms: 26 + 8x = -36 + 2 + -12x Combine like terms: -36 + 2 = -34 26 + 8x = -34 + -12x Solving 26 + 8x = -34 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 26 + 8x + 12x = -34 + -12x + 12x Combine like terms: 8x + 12x = 20x 26 + 20x = -34 + -12x + 12x Combine like terms: -12x + 12x = 0 26 + 20x = -34 + 0 26 + 20x = -34 Add '-26' to each side of the equation. 26 + -26 + 20x = -34 + -26 Combine like terms: 26 + -26 = 0 0 + 20x = -34 + -26 20x = -34 + -26 Combine like terms: -34 + -26 = -60 20x = -60 Divide each side by '20'. x = -3 Simplifying x = -3
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