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Simplifying 5(a + -4b) + -1(a + 4b) + b = x (a * 5 + -4b * 5) + -1(a + 4b) + b = x (5a + -20b) + -1(a + 4b) + b = x 5a + -20b + (a * -1 + 4b * -1) + b = x 5a + -20b + (-1a + -4b) + b = x Reorder the terms: 5a + -1a + -20b + -4b + b = x Combine like terms: 5a + -1a = 4a 4a + -20b + -4b + b = x Combine like terms: -20b + -4b = -24b 4a + -24b + b = x Combine like terms: -24b + b = -23b 4a + -23b = x Solving 4a + -23b = x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '23b' to each side of the equation. 4a + -23b + 23b = 23b + x Combine like terms: -23b + 23b = 0 4a + 0 = 23b + x 4a = 23b + x Divide each side by '4'. a = 5.75b + 0.25x Simplifying a = 5.75b + 0.25x
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