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Simplifying 7x + 2(2x + 7) = 5 + 2x Reorder the terms: 7x + 2(7 + 2x) = 5 + 2x 7x + (7 * 2 + 2x * 2) = 5 + 2x 7x + (14 + 4x) = 5 + 2x Reorder the terms: 14 + 7x + 4x = 5 + 2x Combine like terms: 7x + 4x = 11x 14 + 11x = 5 + 2x Solving 14 + 11x = 5 + 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 + 11x + -2x = 5 + 2x + -2x Combine like terms: 11x + -2x = 9x 14 + 9x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 9x = 5 + 0 14 + 9x = 5 Add '-14' to each side of the equation. 14 + -14 + 9x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = 5 + -14 9x = 5 + -14 Combine like terms: 5 + -14 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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