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Simplifying 8x + 26 = -3(x + 83) Reorder the terms: 26 + 8x = -3(x + 83) Reorder the terms: 26 + 8x = -3(83 + x) 26 + 8x = (83 * -3 + x * -3) 26 + 8x = (-249 + -3x) Solving 26 + 8x = -249 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 26 + 8x + 3x = -249 + -3x + 3x Combine like terms: 8x + 3x = 11x 26 + 11x = -249 + -3x + 3x Combine like terms: -3x + 3x = 0 26 + 11x = -249 + 0 26 + 11x = -249 Add '-26' to each side of the equation. 26 + -26 + 11x = -249 + -26 Combine like terms: 26 + -26 = 0 0 + 11x = -249 + -26 11x = -249 + -26 Combine like terms: -249 + -26 = -275 11x = -275 Divide each side by '11'. x = -25 Simplifying x = -25
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