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Simplifying -1(4x + -14) + 4(6x + 8) = 0 Reorder the terms: -1(-14 + 4x) + 4(6x + 8) = 0 (-14 * -1 + 4x * -1) + 4(6x + 8) = 0 (14 + -4x) + 4(6x + 8) = 0 Reorder the terms: 14 + -4x + 4(8 + 6x) = 0 14 + -4x + (8 * 4 + 6x * 4) = 0 14 + -4x + (32 + 24x) = 0 Reorder the terms: 14 + 32 + -4x + 24x = 0 Combine like terms: 14 + 32 = 46 46 + -4x + 24x = 0 Combine like terms: -4x + 24x = 20x 46 + 20x = 0 Solving 46 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 20x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 20x = 0 + -46 20x = 0 + -46 Combine like terms: 0 + -46 = -46 20x = -46 Divide each side by '20'. x = -2.3 Simplifying x = -2.3
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