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Simplifying 2(2x + 7) = 2(x + 6) Reorder the terms: 2(7 + 2x) = 2(x + 6) (7 * 2 + 2x * 2) = 2(x + 6) (14 + 4x) = 2(x + 6) Reorder the terms: 14 + 4x = 2(6 + x) 14 + 4x = (6 * 2 + x * 2) 14 + 4x = (12 + 2x) Solving 14 + 4x = 12 + 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 + 4x + -2x = 12 + 2x + -2x Combine like terms: 4x + -2x = 2x 14 + 2x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 2x = 12 + 0 14 + 2x = 12 Add '-14' to each side of the equation. 14 + -14 + 2x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 12 + -14 2x = 12 + -14 Combine like terms: 12 + -14 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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