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Simplifying 7(x + 2) + 12 = 2(x + 7) + 7 Reorder the terms: 7(2 + x) + 12 = 2(x + 7) + 7 (2 * 7 + x * 7) + 12 = 2(x + 7) + 7 (14 + 7x) + 12 = 2(x + 7) + 7 Reorder the terms: 14 + 12 + 7x = 2(x + 7) + 7 Combine like terms: 14 + 12 = 26 26 + 7x = 2(x + 7) + 7 Reorder the terms: 26 + 7x = 2(7 + x) + 7 26 + 7x = (7 * 2 + x * 2) + 7 26 + 7x = (14 + 2x) + 7 Reorder the terms: 26 + 7x = 14 + 7 + 2x Combine like terms: 14 + 7 = 21 26 + 7x = 21 + 2x Solving 26 + 7x = 21 + 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. 26 + 7x + -2x = 21 + 2x + -2x Combine like terms: 7x + -2x = 5x 26 + 5x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 26 + 5x = 21 + 0 26 + 5x = 21 Add '-26' to each side of the equation. 26 + -26 + 5x = 21 + -26 Combine like terms: 26 + -26 = 0 0 + 5x = 21 + -26 5x = 21 + -26 Combine like terms: 21 + -26 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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