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Simplifying 5(5 + -4x + -6x) + 8(3x + 4) = 11 Combine like terms: -4x + -6x = -10x 5(5 + -10x) + 8(3x + 4) = 11 (5 * 5 + -10x * 5) + 8(3x + 4) = 11 (25 + -50x) + 8(3x + 4) = 11 Reorder the terms: 25 + -50x + 8(4 + 3x) = 11 25 + -50x + (4 * 8 + 3x * 8) = 11 25 + -50x + (32 + 24x) = 11 Reorder the terms: 25 + 32 + -50x + 24x = 11 Combine like terms: 25 + 32 = 57 57 + -50x + 24x = 11 Combine like terms: -50x + 24x = -26x 57 + -26x = 11 Solving 57 + -26x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -26x = 11 + -57 Combine like terms: 57 + -57 = 0 0 + -26x = 11 + -57 -26x = 11 + -57 Combine like terms: 11 + -57 = -46 -26x = -46 Divide each side by '-26'. x = 1.769230769 Simplifying x = 1.769230769
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