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Simplifying 12x + 3 + -5x + -9 = 1 + 6x Reorder the terms: 3 + -9 + 12x + -5x = 1 + 6x Combine like terms: 3 + -9 = -6 -6 + 12x + -5x = 1 + 6x Combine like terms: 12x + -5x = 7x -6 + 7x = 1 + 6x Solving -6 + 7x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 7x + -6x = 1 + 6x + -6x Combine like terms: 7x + -6x = 1x -6 + 1x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 1x = 1 + 0 -6 + 1x = 1 Add '6' to each side of the equation. -6 + 6 + 1x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 1 + 6 1x = 1 + 6 Combine like terms: 1 + 6 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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