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Simplifying -1(5x + -11) + 3(4x + 8) = 0 Reorder the terms: -1(-11 + 5x) + 3(4x + 8) = 0 (-11 * -1 + 5x * -1) + 3(4x + 8) = 0 (11 + -5x) + 3(4x + 8) = 0 Reorder the terms: 11 + -5x + 3(8 + 4x) = 0 11 + -5x + (8 * 3 + 4x * 3) = 0 11 + -5x + (24 + 12x) = 0 Reorder the terms: 11 + 24 + -5x + 12x = 0 Combine like terms: 11 + 24 = 35 35 + -5x + 12x = 0 Combine like terms: -5x + 12x = 7x 35 + 7x = 0 Solving 35 + 7x = 0 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 + 7x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = 0 + -35 7x = 0 + -35 Combine like terms: 0 + -35 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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