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Simplifying (3x + -9) + (4x + -1) + (2x + -5) = 49 Reorder the terms: (-9 + 3x) + (4x + -1) + (2x + -5) = 49 Remove parenthesis around (-9 + 3x) -9 + 3x + (4x + -1) + (2x + -5) = 49 Reorder the terms: -9 + 3x + (-1 + 4x) + (2x + -5) = 49 Remove parenthesis around (-1 + 4x) -9 + 3x + -1 + 4x + (2x + -5) = 49 Reorder the terms: -9 + 3x + -1 + 4x + (-5 + 2x) = 49 Remove parenthesis around (-5 + 2x) -9 + 3x + -1 + 4x + -5 + 2x = 49 Reorder the terms: -9 + -1 + -5 + 3x + 4x + 2x = 49 Combine like terms: -9 + -1 = -10 -10 + -5 + 3x + 4x + 2x = 49 Combine like terms: -10 + -5 = -15 -15 + 3x + 4x + 2x = 49 Combine like terms: 3x + 4x = 7x -15 + 7x + 2x = 49 Combine like terms: 7x + 2x = 9x -15 + 9x = 49 Solving -15 + 9x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 9x = 49 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = 49 + 15 9x = 49 + 15 Combine like terms: 49 + 15 = 64 9x = 64 Divide each side by '9'. x = 7.111111111 Simplifying x = 7.111111111
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