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Simplifying 10x + 7a = 8a + 12x Reorder the terms: 7a + 10x = 8a + 12x Solving 7a + 10x = 8a + 12x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 7a + -8a + 10x = 8a + -8a + 12x Combine like terms: 7a + -8a = -1a -1a + 10x = 8a + -8a + 12x Combine like terms: 8a + -8a = 0 -1a + 10x = 0 + 12x -1a + 10x = 12x Add '-10x' to each side of the equation. -1a + 10x + -10x = 12x + -10x Combine like terms: 10x + -10x = 0 -1a + 0 = 12x + -10x -1a = 12x + -10x Combine like terms: 12x + -10x = 2x -1a = 2x Divide each side by '-1'. a = -2x Simplifying a = -2x
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