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Simplifying 3(4a + -3) + -7x = 5x + -9 Reorder the terms: 3(-3 + 4a) + -7x = 5x + -9 (-3 * 3 + 4a * 3) + -7x = 5x + -9 (-9 + 12a) + -7x = 5x + -9 Reorder the terms: -9 + 12a + -7x = -9 + 5x Add '9' to each side of the equation. -9 + 12a + 9 + -7x = -9 + 9 + 5x Reorder the terms: -9 + 9 + 12a + -7x = -9 + 9 + 5x Combine like terms: -9 + 9 = 0 0 + 12a + -7x = -9 + 9 + 5x 12a + -7x = -9 + 9 + 5x Combine like terms: -9 + 9 = 0 12a + -7x = 0 + 5x 12a + -7x = 5x Solving 12a + -7x = 5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7x' to each side of the equation. 12a + -7x + 7x = 5x + 7x Combine like terms: -7x + 7x = 0 12a + 0 = 5x + 7x 12a = 5x + 7x Combine like terms: 5x + 7x = 12x 12a = 12x Divide each side by '12'. a = x Simplifying a = x
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