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Simplifying 8x + 26 = -2(x + 7) Reorder the terms: 26 + 8x = -2(x + 7) Reorder the terms: 26 + 8x = -2(7 + x) 26 + 8x = (7 * -2 + x * -2) 26 + 8x = (-14 + -2x) Solving 26 + 8x = -14 + -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. 26 + 8x + 2x = -14 + -2x + 2x Combine like terms: 8x + 2x = 10x 26 + 10x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 26 + 10x = -14 + 0 26 + 10x = -14 Add '-26' to each side of the equation. 26 + -26 + 10x = -14 + -26 Combine like terms: 26 + -26 = 0 0 + 10x = -14 + -26 10x = -14 + -26 Combine like terms: -14 + -26 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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