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Simplifying x + 3a = 34 + 2a + -7a Reorder the terms: 3a + x = 34 + 2a + -7a Combine like terms: 2a + -7a = -5a 3a + x = 34 + -5a Solving 3a + x = 34 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 3a + 5a + x = 34 + -5a + 5a Combine like terms: 3a + 5a = 8a 8a + x = 34 + -5a + 5a Combine like terms: -5a + 5a = 0 8a + x = 34 + 0 8a + x = 34 Add '-1x' to each side of the equation. 8a + x + -1x = 34 + -1x Combine like terms: x + -1x = 0 8a + 0 = 34 + -1x 8a = 34 + -1x Divide each side by '8'. a = 4.25 + -0.125x Simplifying a = 4.25 + -0.125x
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