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Simplifying -1(4x + -14) + 2(4x + 7) = 0 Reorder the terms: -1(-14 + 4x) + 2(4x + 7) = 0 (-14 * -1 + 4x * -1) + 2(4x + 7) = 0 (14 + -4x) + 2(4x + 7) = 0 Reorder the terms: 14 + -4x + 2(7 + 4x) = 0 14 + -4x + (7 * 2 + 4x * 2) = 0 14 + -4x + (14 + 8x) = 0 Reorder the terms: 14 + 14 + -4x + 8x = 0 Combine like terms: 14 + 14 = 28 28 + -4x + 8x = 0 Combine like terms: -4x + 8x = 4x 28 + 4x = 0 Solving 28 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 4x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = 0 + -28 4x = 0 + -28 Combine like terms: 0 + -28 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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