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Simplifying (4x + -1) + (3x + 4) + (4x + 2) = 49 Reorder the terms: (-1 + 4x) + (3x + 4) + (4x + 2) = 49 Remove parenthesis around (-1 + 4x) -1 + 4x + (3x + 4) + (4x + 2) = 49 Reorder the terms: -1 + 4x + (4 + 3x) + (4x + 2) = 49 Remove parenthesis around (4 + 3x) -1 + 4x + 4 + 3x + (4x + 2) = 49 Reorder the terms: -1 + 4x + 4 + 3x + (2 + 4x) = 49 Remove parenthesis around (2 + 4x) -1 + 4x + 4 + 3x + 2 + 4x = 49 Reorder the terms: -1 + 4 + 2 + 4x + 3x + 4x = 49 Combine like terms: -1 + 4 = 3 3 + 2 + 4x + 3x + 4x = 49 Combine like terms: 3 + 2 = 5 5 + 4x + 3x + 4x = 49 Combine like terms: 4x + 3x = 7x 5 + 7x + 4x = 49 Combine like terms: 7x + 4x = 11x 5 + 11x = 49 Solving 5 + 11x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 11x = 49 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 49 + -5 11x = 49 + -5 Combine like terms: 49 + -5 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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