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Simplifying 6(8 + -9x + -2x) + 8(5x + 8) = 8 Combine like terms: -9x + -2x = -11x 6(8 + -11x) + 8(5x + 8) = 8 (8 * 6 + -11x * 6) + 8(5x + 8) = 8 (48 + -66x) + 8(5x + 8) = 8 Reorder the terms: 48 + -66x + 8(8 + 5x) = 8 48 + -66x + (8 * 8 + 5x * 8) = 8 48 + -66x + (64 + 40x) = 8 Reorder the terms: 48 + 64 + -66x + 40x = 8 Combine like terms: 48 + 64 = 112 112 + -66x + 40x = 8 Combine like terms: -66x + 40x = -26x 112 + -26x = 8 Solving 112 + -26x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + -26x = 8 + -112 Combine like terms: 112 + -112 = 0 0 + -26x = 8 + -112 -26x = 8 + -112 Combine like terms: 8 + -112 = -104 -26x = -104 Divide each side by '-26'. x = 4 Simplifying x = 4
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