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Simplifying (3x + 1) + 4x + 11 + (x + -2) = 34 Reorder the terms: (1 + 3x) + 4x + 11 + (x + -2) = 34 Remove parenthesis around (1 + 3x) 1 + 3x + 4x + 11 + (x + -2) = 34 Reorder the terms: 1 + 3x + 4x + 11 + (-2 + x) = 34 Remove parenthesis around (-2 + x) 1 + 3x + 4x + 11 + -2 + x = 34 Reorder the terms: 1 + 11 + -2 + 3x + 4x + x = 34 Combine like terms: 1 + 11 = 12 12 + -2 + 3x + 4x + x = 34 Combine like terms: 12 + -2 = 10 10 + 3x + 4x + x = 34 Combine like terms: 3x + 4x = 7x 10 + 7x + x = 34 Combine like terms: 7x + x = 8x 10 + 8x = 34 Solving 10 + 8x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 8x = 34 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 34 + -10 8x = 34 + -10 Combine like terms: 34 + -10 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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