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Simplifying 3a + -2b = 5b + -1x + 5a Reorder the terms: 3a + -2b = 5a + 5b + -1x Solving 3a + -2b = 5a + 5b + -1x 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 + -2b = 5a + 5b + -5a + -1x Combine like terms: 3a + -5a = -2a -2a + -2b = 5a + 5b + -5a + -1x Reorder the terms: -2a + -2b = 5a + -5a + 5b + -1x Combine like terms: 5a + -5a = 0 -2a + -2b = 0 + 5b + -1x -2a + -2b = 5b + -1x Add '2b' to each side of the equation. -2a + -2b + 2b = 5b + 2b + -1x Combine like terms: -2b + 2b = 0 -2a + 0 = 5b + 2b + -1x -2a = 5b + 2b + -1x Combine like terms: 5b + 2b = 7b -2a = 7b + -1x Divide each side by '-2'. a = -3.5b + 0.5x Simplifying a = -3.5b + 0.5x
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