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Simplifying 8x + 14 = -2(4x + -7) Reorder the terms: 14 + 8x = -2(4x + -7) Reorder the terms: 14 + 8x = -2(-7 + 4x) 14 + 8x = (-7 * -2 + 4x * -2) 14 + 8x = (14 + -8x) Add '-14' to each side of the equation. 14 + -14 + 8x = 14 + -14 + -8x Combine like terms: 14 + -14 = 0 0 + 8x = 14 + -14 + -8x 8x = 14 + -14 + -8x Combine like terms: 14 + -14 = 0 8x = 0 + -8x 8x = -8x Solving 8x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 8x + 8x = -8x + 8x Combine like terms: 8x + 8x = 16x 16x = -8x + 8x Combine like terms: -8x + 8x = 0 16x = 0 Divide each side by '16'. x = 0 Simplifying x = 0
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