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Simplifying (42x + -9) = (35x + 12) Reorder the terms: (-9 + 42x) = (35x + 12) Remove parenthesis around (-9 + 42x) -9 + 42x = (35x + 12) Reorder the terms: -9 + 42x = (12 + 35x) Remove parenthesis around (12 + 35x) -9 + 42x = 12 + 35x Solving -9 + 42x = 12 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -9 + 42x + -35x = 12 + 35x + -35x Combine like terms: 42x + -35x = 7x -9 + 7x = 12 + 35x + -35x Combine like terms: 35x + -35x = 0 -9 + 7x = 12 + 0 -9 + 7x = 12 Add '9' to each side of the equation. -9 + 9 + 7x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 12 + 9 7x = 12 + 9 Combine like terms: 12 + 9 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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