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Simplifying -1(4x + -11) + 4(5x + 7) = 0 Reorder the terms: -1(-11 + 4x) + 4(5x + 7) = 0 (-11 * -1 + 4x * -1) + 4(5x + 7) = 0 (11 + -4x) + 4(5x + 7) = 0 Reorder the terms: 11 + -4x + 4(7 + 5x) = 0 11 + -4x + (7 * 4 + 5x * 4) = 0 11 + -4x + (28 + 20x) = 0 Reorder the terms: 11 + 28 + -4x + 20x = 0 Combine like terms: 11 + 28 = 39 39 + -4x + 20x = 0 Combine like terms: -4x + 20x = 16x 39 + 16x = 0 Solving 39 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 16x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 16x = 0 + -39 16x = 0 + -39 Combine like terms: 0 + -39 = -39 16x = -39 Divide each side by '16'. x = -2.4375 Simplifying x = -2.4375
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