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Simplifying 2(x + 2) + 7 = 3(x + 6) Reorder the terms: 2(2 + x) + 7 = 3(x + 6) (2 * 2 + x * 2) + 7 = 3(x + 6) (4 + 2x) + 7 = 3(x + 6) Reorder the terms: 4 + 7 + 2x = 3(x + 6) Combine like terms: 4 + 7 = 11 11 + 2x = 3(x + 6) Reorder the terms: 11 + 2x = 3(6 + x) 11 + 2x = (6 * 3 + x * 3) 11 + 2x = (18 + 3x) Solving 11 + 2x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 11 + 2x + -3x = 18 + 3x + -3x Combine like terms: 2x + -3x = -1x 11 + -1x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + -1x = 18 + 0 11 + -1x = 18 Add '-11' to each side of the equation. 11 + -11 + -1x = 18 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 18 + -11 -1x = 18 + -11 Combine like terms: 18 + -11 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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