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Simplifying 3x + 2 = 9 + 2(x + 4) Reorder the terms: 2 + 3x = 9 + 2(x + 4) Reorder the terms: 2 + 3x = 9 + 2(4 + x) 2 + 3x = 9 + (4 * 2 + x * 2) 2 + 3x = 9 + (8 + 2x) Combine like terms: 9 + 8 = 17 2 + 3x = 17 + 2x Solving 2 + 3x = 17 + 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. 2 + 3x + -2x = 17 + 2x + -2x Combine like terms: 3x + -2x = 1x 2 + 1x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 1x = 17 + 0 2 + 1x = 17 Add '-2' to each side of the equation. 2 + -2 + 1x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 17 + -2 1x = 17 + -2 Combine like terms: 17 + -2 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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