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Simplifying 2(x + 7) + -2x = -2(7 + -7x) Reorder the terms: 2(7 + x) + -2x = -2(7 + -7x) (7 * 2 + x * 2) + -2x = -2(7 + -7x) (14 + 2x) + -2x = -2(7 + -7x) Combine like terms: 2x + -2x = 0 14 + 0 = -2(7 + -7x) 14 = -2(7 + -7x) 14 = (7 * -2 + -7x * -2) 14 = (-14 + 14x) Solving 14 = -14 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 14 + -14x = -14 + 14x + -14x Combine like terms: 14x + -14x = 0 14 + -14x = -14 + 0 14 + -14x = -14 Add '-14' to each side of the equation. 14 + -14 + -14x = -14 + -14 Combine like terms: 14 + -14 = 0 0 + -14x = -14 + -14 -14x = -14 + -14 Combine like terms: -14 + -14 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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