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