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Simplifying 2(x + 2) + 7(x + 3) = 7 Reorder the terms: 2(2 + x) + 7(x + 3) = 7 (2 * 2 + x * 2) + 7(x + 3) = 7 (4 + 2x) + 7(x + 3) = 7 Reorder the terms: 4 + 2x + 7(3 + x) = 7 4 + 2x + (3 * 7 + x * 7) = 7 4 + 2x + (21 + 7x) = 7 Reorder the terms: 4 + 21 + 2x + 7x = 7 Combine like terms: 4 + 21 = 25 25 + 2x + 7x = 7 Combine like terms: 2x + 7x = 9x 25 + 9x = 7 Solving 25 + 9x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 9x = 7 + -25 Combine like terms: 25 + -25 = 0 0 + 9x = 7 + -25 9x = 7 + -25 Combine like terms: 7 + -25 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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