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