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Simplifying 5(a + x) = b + -1a + 3x (a * 5 + x * 5) = b + -1a + 3x (5a + 5x) = b + -1a + 3x Reorder the terms: 5a + 5x = -1a + b + 3x Solving 5a + 5x = -1a + b + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 5a + a + 5x = -1a + b + a + 3x Combine like terms: 5a + a = 6a 6a + 5x = -1a + b + a + 3x Reorder the terms: 6a + 5x = -1a + a + b + 3x Combine like terms: -1a + a = 0 6a + 5x = 0 + b + 3x 6a + 5x = b + 3x Add '-5x' to each side of the equation. 6a + 5x + -5x = b + 3x + -5x Combine like terms: 5x + -5x = 0 6a + 0 = b + 3x + -5x 6a = b + 3x + -5x Combine like terms: 3x + -5x = -2x 6a = b + -2x Divide each side by '6'. a = 0.1666666667b + -0.3333333333x Simplifying a = 0.1666666667b + -0.3333333333x
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