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Simplifying 26 = -7(-8 + -3x) + 6(x + 4) 26 = (-8 * -7 + -3x * -7) + 6(x + 4) 26 = (56 + 21x) + 6(x + 4) Reorder the terms: 26 = 56 + 21x + 6(4 + x) 26 = 56 + 21x + (4 * 6 + x * 6) 26 = 56 + 21x + (24 + 6x) Reorder the terms: 26 = 56 + 24 + 21x + 6x Combine like terms: 56 + 24 = 80 26 = 80 + 21x + 6x Combine like terms: 21x + 6x = 27x 26 = 80 + 27x Solving 26 = 80 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 26 + -27x = 80 + 27x + -27x Combine like terms: 27x + -27x = 0 26 + -27x = 80 + 0 26 + -27x = 80 Add '-26' to each side of the equation. 26 + -26 + -27x = 80 + -26 Combine like terms: 26 + -26 = 0 0 + -27x = 80 + -26 -27x = 80 + -26 Combine like terms: 80 + -26 = 54 -27x = 54 Divide each side by '-27'. x = -2 Simplifying x = -2
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