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Simplifying (2x + 9) + 2 = 3(x + 8) Reorder the terms: (9 + 2x) + 2 = 3(x + 8) Remove parenthesis around (9 + 2x) 9 + 2x + 2 = 3(x + 8) Reorder the terms: 9 + 2 + 2x = 3(x + 8) Combine like terms: 9 + 2 = 11 11 + 2x = 3(x + 8) Reorder the terms: 11 + 2x = 3(8 + x) 11 + 2x = (8 * 3 + x * 3) 11 + 2x = (24 + 3x) Solving 11 + 2x = 24 + 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 = 24 + 3x + -3x Combine like terms: 2x + -3x = -1x 11 + -1x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + -1x = 24 + 0 11 + -1x = 24 Add '-11' to each side of the equation. 11 + -11 + -1x = 24 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 24 + -11 -1x = 24 + -11 Combine like terms: 24 + -11 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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