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Simplifying 12x + -9 = 7x + 4x + -2 Reorder the terms: -9 + 12x = 7x + 4x + -2 Reorder the terms: -9 + 12x = -2 + 7x + 4x Combine like terms: 7x + 4x = 11x -9 + 12x = -2 + 11x Solving -9 + 12x = -2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -9 + 12x + -11x = -2 + 11x + -11x Combine like terms: 12x + -11x = 1x -9 + 1x = -2 + 11x + -11x Combine like terms: 11x + -11x = 0 -9 + 1x = -2 + 0 -9 + 1x = -2 Add '9' to each side of the equation. -9 + 9 + 1x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -2 + 9 1x = -2 + 9 Combine like terms: -2 + 9 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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