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Simplifying 7(x + 2) = 5x + 2 + 6x Reorder the terms: 7(2 + x) = 5x + 2 + 6x (2 * 7 + x * 7) = 5x + 2 + 6x (14 + 7x) = 5x + 2 + 6x Reorder the terms: 14 + 7x = 2 + 5x + 6x Combine like terms: 5x + 6x = 11x 14 + 7x = 2 + 11x Solving 14 + 7x = 2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 14 + 7x + -11x = 2 + 11x + -11x Combine like terms: 7x + -11x = -4x 14 + -4x = 2 + 11x + -11x Combine like terms: 11x + -11x = 0 14 + -4x = 2 + 0 14 + -4x = 2 Add '-14' to each side of the equation. 14 + -14 + -4x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = 2 + -14 -4x = 2 + -14 Combine like terms: 2 + -14 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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