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Simplifying 8[2 + -1(5 + -6x)] + -2x = -26 + 2(1 + -25x) 8[2 + (5 * -1 + -6x * -1)] + -2x = -26 + 2(1 + -25x) 8[2 + (-5 + 6x)] + -2x = -26 + 2(1 + -25x) Combine like terms: 2 + -5 = -3 8[-3 + 6x] + -2x = -26 + 2(1 + -25x) [-3 * 8 + 6x * 8] + -2x = -26 + 2(1 + -25x) [-24 + 48x] + -2x = -26 + 2(1 + -25x) Combine like terms: 48x + -2x = 46x -24 + 46x = -26 + 2(1 + -25x) -24 + 46x = -26 + (1 * 2 + -25x * 2) -24 + 46x = -26 + (2 + -50x) Combine like terms: -26 + 2 = -24 -24 + 46x = -24 + -50x Add '24' to each side of the equation. -24 + 24 + 46x = -24 + 24 + -50x Combine like terms: -24 + 24 = 0 0 + 46x = -24 + 24 + -50x 46x = -24 + 24 + -50x Combine like terms: -24 + 24 = 0 46x = 0 + -50x 46x = -50x Solving 46x = -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. 46x + 50x = -50x + 50x Combine like terms: 46x + 50x = 96x 96x = -50x + 50x Combine like terms: -50x + 50x = 0 96x = 0 Divide each side by '96'. x = 0 Simplifying x = 0
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