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Simplifying 11(10 + -4x) + -5(15 + 15x) = 868 (10 * 11 + -4x * 11) + -5(15 + 15x) = 868 (110 + -44x) + -5(15 + 15x) = 868 110 + -44x + (15 * -5 + 15x * -5) = 868 110 + -44x + (-75 + -75x) = 868 Reorder the terms: 110 + -75 + -44x + -75x = 868 Combine like terms: 110 + -75 = 35 35 + -44x + -75x = 868 Combine like terms: -44x + -75x = -119x 35 + -119x = 868 Solving 35 + -119x = 868 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -119x = 868 + -35 Combine like terms: 35 + -35 = 0 0 + -119x = 868 + -35 -119x = 868 + -35 Combine like terms: 868 + -35 = 833 -119x = 833 Divide each side by '-119'. x = -7 Simplifying x = -7
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