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Simplifying -8 + 26 = 3[2 + -4(-7 + x)] Combine like terms: -8 + 26 = 18 18 = 3[2 + -4(-7 + x)] 18 = 3[2 + (-7 * -4 + x * -4)] 18 = 3[2 + (28 + -4x)] Combine like terms: 2 + 28 = 30 18 = 3[30 + -4x] 18 = [30 * 3 + -4x * 3] 18 = [90 + -12x] Solving 18 = 90 + -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. 18 + 12x = 90 + -12x + 12x Combine like terms: -12x + 12x = 0 18 + 12x = 90 + 0 18 + 12x = 90 Add '-18' to each side of the equation. 18 + -18 + 12x = 90 + -18 Combine like terms: 18 + -18 = 0 0 + 12x = 90 + -18 12x = 90 + -18 Combine like terms: 90 + -18 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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