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Simplifying (11x + -33) + (10x + -13) = 122 Reorder the terms: (-33 + 11x) + (10x + -13) = 122 Remove parenthesis around (-33 + 11x) -33 + 11x + (10x + -13) = 122 Reorder the terms: -33 + 11x + (-13 + 10x) = 122 Remove parenthesis around (-13 + 10x) -33 + 11x + -13 + 10x = 122 Reorder the terms: -33 + -13 + 11x + 10x = 122 Combine like terms: -33 + -13 = -46 -46 + 11x + 10x = 122 Combine like terms: 11x + 10x = 21x -46 + 21x = 122 Solving -46 + 21x = 122 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 21x = 122 + 46 Combine like terms: -46 + 46 = 0 0 + 21x = 122 + 46 21x = 122 + 46 Combine like terms: 122 + 46 = 168 21x = 168 Divide each side by '21'. x = 8 Simplifying x = 8
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