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Simplifying 2(-7x + 1) = 114 Reorder the terms: 2(1 + -7x) = 114 (1 * 2 + -7x * 2) = 114 (2 + -14x) = 114 Solving 2 + -14x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -14x = 114 + -2 Combine like terms: 2 + -2 = 0 0 + -14x = 114 + -2 -14x = 114 + -2 Combine like terms: 114 + -2 = 112 -14x = 112 Divide each side by '-14'. x = -8 Simplifying x = -8
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