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Simplifying 7a + 5x = 6a + 1x + -3 Reorder the terms: 7a + 5x = -3 + 6a + 1x Solving 7a + 5x = -3 + 6a + 1x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 7a + -6a + 5x = -3 + 6a + -6a + 1x Combine like terms: 7a + -6a = 1a 1a + 5x = -3 + 6a + -6a + 1x Combine like terms: 6a + -6a = 0 1a + 5x = -3 + 0 + 1x 1a + 5x = -3 + 1x Add '-5x' to each side of the equation. 1a + 5x + -5x = -3 + 1x + -5x Combine like terms: 5x + -5x = 0 1a + 0 = -3 + 1x + -5x 1a = -3 + 1x + -5x Combine like terms: 1x + -5x = -4x 1a = -3 + -4x Divide each side by '1'. a = -3 + -4x Simplifying a = -3 + -4x
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