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Simplifying -1(4x + -14) + 4(5x + 5) = 0 Reorder the terms: -1(-14 + 4x) + 4(5x + 5) = 0 (-14 * -1 + 4x * -1) + 4(5x + 5) = 0 (14 + -4x) + 4(5x + 5) = 0 Reorder the terms: 14 + -4x + 4(5 + 5x) = 0 14 + -4x + (5 * 4 + 5x * 4) = 0 14 + -4x + (20 + 20x) = 0 Reorder the terms: 14 + 20 + -4x + 20x = 0 Combine like terms: 14 + 20 = 34 34 + -4x + 20x = 0 Combine like terms: -4x + 20x = 16x 34 + 16x = 0 Solving 34 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 16x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 16x = 0 + -34 16x = 0 + -34 Combine like terms: 0 + -34 = -34 16x = -34 Divide each side by '16'. x = -2.125 Simplifying x = -2.125
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