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Simplifying 7x + 2 + 6x + 9 = 12x + 5 Reorder the terms: 2 + 9 + 7x + 6x = 12x + 5 Combine like terms: 2 + 9 = 11 11 + 7x + 6x = 12x + 5 Combine like terms: 7x + 6x = 13x 11 + 13x = 12x + 5 Reorder the terms: 11 + 13x = 5 + 12x Solving 11 + 13x = 5 + 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. 11 + 13x + -12x = 5 + 12x + -12x Combine like terms: 13x + -12x = 1x 11 + 1x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 11 + 1x = 5 + 0 11 + 1x = 5 Add '-11' to each side of the equation. 11 + -11 + 1x = 5 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 5 + -11 1x = 5 + -11 Combine like terms: 5 + -11 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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