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Simplifying (7x + -2) = (12x + -22) Reorder the terms: (-2 + 7x) = (12x + -22) Remove parenthesis around (-2 + 7x) -2 + 7x = (12x + -22) Reorder the terms: -2 + 7x = (-22 + 12x) Remove parenthesis around (-22 + 12x) -2 + 7x = -22 + 12x Solving -2 + 7x = -22 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + 7x + -12x = -22 + 12x + -12x Combine like terms: 7x + -12x = -5x -2 + -5x = -22 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -5x = -22 + 0 -2 + -5x = -22 Add '2' to each side of the equation. -2 + 2 + -5x = -22 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -22 + 2 -5x = -22 + 2 Combine like terms: -22 + 2 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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