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