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Simplifying 2x + 3(x + 1) + 4(x + 2) = 74 Reorder the terms: 2x + 3(1 + x) + 4(x + 2) = 74 2x + (1 * 3 + x * 3) + 4(x + 2) = 74 2x + (3 + 3x) + 4(x + 2) = 74 Reorder the terms: 2x + 3 + 3x + 4(2 + x) = 74 2x + 3 + 3x + (2 * 4 + x * 4) = 74 2x + 3 + 3x + (8 + 4x) = 74 Reorder the terms: 3 + 8 + 2x + 3x + 4x = 74 Combine like terms: 3 + 8 = 11 11 + 2x + 3x + 4x = 74 Combine like terms: 2x + 3x = 5x 11 + 5x + 4x = 74 Combine like terms: 5x + 4x = 9x 11 + 9x = 74 Solving 11 + 9x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9x = 74 + -11 Combine like terms: 11 + -11 = 0 0 + 9x = 74 + -11 9x = 74 + -11 Combine like terms: 74 + -11 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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