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Simplifying 2(7 + x) = 2(3 + -1x) (7 * 2 + x * 2) = 2(3 + -1x) (14 + 2x) = 2(3 + -1x) 14 + 2x = (3 * 2 + -1x * 2) 14 + 2x = (6 + -2x) Solving 14 + 2x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 14 + 2x + 2x = 6 + -2x + 2x Combine like terms: 2x + 2x = 4x 14 + 4x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 4x = 6 + 0 14 + 4x = 6 Add '-14' to each side of the equation. 14 + -14 + 4x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 6 + -14 4x = 6 + -14 Combine like terms: 6 + -14 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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