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Simplifying 7(x + 2) = 5(x + -6) + -14 Reorder the terms: 7(2 + x) = 5(x + -6) + -14 (2 * 7 + x * 7) = 5(x + -6) + -14 (14 + 7x) = 5(x + -6) + -14 Reorder the terms: 14 + 7x = 5(-6 + x) + -14 14 + 7x = (-6 * 5 + x * 5) + -14 14 + 7x = (-30 + 5x) + -14 Reorder the terms: 14 + 7x = -30 + -14 + 5x Combine like terms: -30 + -14 = -44 14 + 7x = -44 + 5x Solving 14 + 7x = -44 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 7x + -5x = -44 + 5x + -5x Combine like terms: 7x + -5x = 2x 14 + 2x = -44 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 2x = -44 + 0 14 + 2x = -44 Add '-14' to each side of the equation. 14 + -14 + 2x = -44 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = -44 + -14 2x = -44 + -14 Combine like terms: -44 + -14 = -58 2x = -58 Divide each side by '2'. x = -29 Simplifying x = -29
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