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