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Simplifying 6a + 7x + 4 + -7 = 4a + 3 + -4 + 5x Reorder the terms: 4 + -7 + 6a + 7x = 4a + 3 + -4 + 5x Combine like terms: 4 + -7 = -3 -3 + 6a + 7x = 4a + 3 + -4 + 5x Reorder the terms: -3 + 6a + 7x = 3 + -4 + 4a + 5x Combine like terms: 3 + -4 = -1 -3 + 6a + 7x = -1 + 4a + 5x Solving -3 + 6a + 7x = -1 + 4a + 5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -3 + 6a + -4a + 7x = -1 + 4a + -4a + 5x Combine like terms: 6a + -4a = 2a -3 + 2a + 7x = -1 + 4a + -4a + 5x Combine like terms: 4a + -4a = 0 -3 + 2a + 7x = -1 + 0 + 5x -3 + 2a + 7x = -1 + 5x Add '3' to each side of the equation. -3 + 2a + 3 + 7x = -1 + 3 + 5x Reorder the terms: -3 + 3 + 2a + 7x = -1 + 3 + 5x Combine like terms: -3 + 3 = 0 0 + 2a + 7x = -1 + 3 + 5x 2a + 7x = -1 + 3 + 5x Combine like terms: -1 + 3 = 2 2a + 7x = 2 + 5x Add '-7x' to each side of the equation. 2a + 7x + -7x = 2 + 5x + -7x Combine like terms: 7x + -7x = 0 2a + 0 = 2 + 5x + -7x 2a = 2 + 5x + -7x Combine like terms: 5x + -7x = -2x 2a = 2 + -2x Divide each side by '2'. a = 1 + -1x Simplifying a = 1 + -1x
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