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Simplifying 6x + a + 6x + 9 = 11x + 5 Reorder the terms: 9 + a + 6x + 6x = 11x + 5 Combine like terms: 6x + 6x = 12x 9 + a + 12x = 11x + 5 Reorder the terms: 9 + a + 12x = 5 + 11x Solving 9 + a + 12x = 5 + 11x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + a + -9 + 12x = 5 + -9 + 11x Reorder the terms: 9 + -9 + a + 12x = 5 + -9 + 11x Combine like terms: 9 + -9 = 0 0 + a + 12x = 5 + -9 + 11x a + 12x = 5 + -9 + 11x Combine like terms: 5 + -9 = -4 a + 12x = -4 + 11x Add '-12x' to each side of the equation. a + 12x + -12x = -4 + 11x + -12x Combine like terms: 12x + -12x = 0 a + 0 = -4 + 11x + -12x a = -4 + 11x + -12x Combine like terms: 11x + -12x = -1x a = -4 + -1x Simplifying a = -4 + -1x
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