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Simplifying x + 3a = 17 + a(2) + -4a Reorder the terms: 3a + x = 17 + a(2) + -4a Reorder the terms for easier multiplication: 3a + x = 17 + 2a + -4a Combine like terms: 2a + -4a = -2a 3a + x = 17 + -2a Solving 3a + x = 17 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 3a + 2a + x = 17 + -2a + 2a Combine like terms: 3a + 2a = 5a 5a + x = 17 + -2a + 2a Combine like terms: -2a + 2a = 0 5a + x = 17 + 0 5a + x = 17 Add '-1x' to each side of the equation. 5a + x + -1x = 17 + -1x Combine like terms: x + -1x = 0 5a + 0 = 17 + -1x 5a = 17 + -1x Divide each side by '5'. a = 3.4 + -0.2x Simplifying a = 3.4 + -0.2x
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