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Simplifying 2 + 3(x + 4) = 9 + (3 + 2x) Reorder the terms: 2 + 3(4 + x) = 9 + (3 + 2x) 2 + (4 * 3 + x * 3) = 9 + (3 + 2x) 2 + (12 + 3x) = 9 + (3 + 2x) Combine like terms: 2 + 12 = 14 14 + 3x = 9 + (3 + 2x) Remove parenthesis around (3 + 2x) 14 + 3x = 9 + 3 + 2x Combine like terms: 9 + 3 = 12 14 + 3x = 12 + 2x Solving 14 + 3x = 12 + 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 + 3x + -2x = 12 + 2x + -2x Combine like terms: 3x + -2x = 1x 14 + 1x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + 1x = 12 + 0 14 + 1x = 12 Add '-14' to each side of the equation. 14 + -14 + 1x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 12 + -14 1x = 12 + -14 Combine like terms: 12 + -14 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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