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Simplifying 14 = -7(1 + -5x) + 2(-6x + -1) 14 = (1 * -7 + -5x * -7) + 2(-6x + -1) 14 = (-7 + 35x) + 2(-6x + -1) Reorder the terms: 14 = -7 + 35x + 2(-1 + -6x) 14 = -7 + 35x + (-1 * 2 + -6x * 2) 14 = -7 + 35x + (-2 + -12x) Reorder the terms: 14 = -7 + -2 + 35x + -12x Combine like terms: -7 + -2 = -9 14 = -9 + 35x + -12x Combine like terms: 35x + -12x = 23x 14 = -9 + 23x Solving 14 = -9 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 14 + -23x = -9 + 23x + -23x Combine like terms: 23x + -23x = 0 14 + -23x = -9 + 0 14 + -23x = -9 Add '-14' to each side of the equation. 14 + -14 + -23x = -9 + -14 Combine like terms: 14 + -14 = 0 0 + -23x = -9 + -14 -23x = -9 + -14 Combine like terms: -9 + -14 = -23 -23x = -23 Divide each side by '-23'. x = 1 Simplifying x = 1
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