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Simplifying 7x + 6 + 4x + 2 = 12x + 9 Reorder the terms: 6 + 2 + 7x + 4x = 12x + 9 Combine like terms: 6 + 2 = 8 8 + 7x + 4x = 12x + 9 Combine like terms: 7x + 4x = 11x 8 + 11x = 12x + 9 Reorder the terms: 8 + 11x = 9 + 12x Solving 8 + 11x = 9 + 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. 8 + 11x + -12x = 9 + 12x + -12x Combine like terms: 11x + -12x = -1x 8 + -1x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -1x = 9 + 0 8 + -1x = 9 Add '-8' to each side of the equation. 8 + -8 + -1x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 9 + -8 -1x = 9 + -8 Combine like terms: 9 + -8 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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