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Simplifying 2(x + 1) + 3(x + 2) = 9 Reorder the terms: 2(1 + x) + 3(x + 2) = 9 (1 * 2 + x * 2) + 3(x + 2) = 9 (2 + 2x) + 3(x + 2) = 9 Reorder the terms: 2 + 2x + 3(2 + x) = 9 2 + 2x + (2 * 3 + x * 3) = 9 2 + 2x + (6 + 3x) = 9 Reorder the terms: 2 + 6 + 2x + 3x = 9 Combine like terms: 2 + 6 = 8 8 + 2x + 3x = 9 Combine like terms: 2x + 3x = 5x 8 + 5x = 9 Solving 8 + 5x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 9 + -8 5x = 9 + -8 Combine like terms: 9 + -8 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2
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