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Simplifying 2(-8x + 7) = -114 Reorder the terms: 2(7 + -8x) = -114 (7 * 2 + -8x * 2) = -114 (14 + -16x) = -114 Solving 14 + -16x = -114 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 + -16x = -114 + -14 Combine like terms: 14 + -14 = 0 0 + -16x = -114 + -14 -16x = -114 + -14 Combine like terms: -114 + -14 = -128 -16x = -128 Divide each side by '-16'. x = 8 Simplifying x = 8
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