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Simplifying 3(4x + -11) + 34 = 277 Reorder the terms: 3(-11 + 4x) + 34 = 277 (-11 * 3 + 4x * 3) + 34 = 277 (-33 + 12x) + 34 = 277 Reorder the terms: -33 + 34 + 12x = 277 Combine like terms: -33 + 34 = 1 1 + 12x = 277 Solving 1 + 12x = 277 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 12x = 277 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = 277 + -1 12x = 277 + -1 Combine like terms: 277 + -1 = 276 12x = 276 Divide each side by '12'. x = 23 Simplifying x = 23
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