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Simplifying 7(46 + -6x) + -2x = 14 (46 * 7 + -6x * 7) + -2x = 14 (322 + -42x) + -2x = 14 Combine like terms: -42x + -2x = -44x 322 + -44x = 14 Solving 322 + -44x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-322' to each side of the equation. 322 + -322 + -44x = 14 + -322 Combine like terms: 322 + -322 = 0 0 + -44x = 14 + -322 -44x = 14 + -322 Combine like terms: 14 + -322 = -308 -44x = -308 Divide each side by '-44'. x = 7 Simplifying x = 7
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