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Simplifying (5x + -5) + (7x + -24) = 79 Reorder the terms: (-5 + 5x) + (7x + -24) = 79 Remove parenthesis around (-5 + 5x) -5 + 5x + (7x + -24) = 79 Reorder the terms: -5 + 5x + (-24 + 7x) = 79 Remove parenthesis around (-24 + 7x) -5 + 5x + -24 + 7x = 79 Reorder the terms: -5 + -24 + 5x + 7x = 79 Combine like terms: -5 + -24 = -29 -29 + 5x + 7x = 79 Combine like terms: 5x + 7x = 12x -29 + 12x = 79 Solving -29 + 12x = 79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 12x = 79 + 29 Combine like terms: -29 + 29 = 0 0 + 12x = 79 + 29 12x = 79 + 29 Combine like terms: 79 + 29 = 108 12x = 108 Divide each side by '12'. x = 9 Simplifying x = 9
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