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Simplifying (5a + -4)(c + 6) = x Reorder the terms: (-4 + 5a)(c + 6) = x Reorder the terms: (-4 + 5a)(6 + c) = x Multiply (-4 + 5a) * (6 + c) (-4(6 + c) + 5a * (6 + c)) = x ((6 * -4 + c * -4) + 5a * (6 + c)) = x ((-24 + -4c) + 5a * (6 + c)) = x (-24 + -4c + (6 * 5a + c * 5a)) = x (-24 + -4c + (30a + 5ac)) = x Reorder the terms: (-24 + 30a + 5ac + -4c) = x (-24 + 30a + 5ac + -4c) = x Solving -24 + 30a + 5ac + -4c = x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 30a + 5ac + 24 + -4c = 24 + x Reorder the terms: -24 + 24 + 30a + 5ac + -4c = 24 + x Combine like terms: -24 + 24 = 0 0 + 30a + 5ac + -4c = 24 + x 30a + 5ac + -4c = 24 + x Add '4c' to each side of the equation. 30a + 5ac + -4c + 4c = 24 + 4c + x Combine like terms: -4c + 4c = 0 30a + 5ac + 0 = 24 + 4c + x 30a + 5ac = 24 + 4c + x Reorder the terms: -24 + 30a + 5ac + -4c + -1x = 24 + 4c + x + -24 + -4c + -1x Reorder the terms: -24 + 30a + 5ac + -4c + -1x = 24 + -24 + 4c + -4c + x + -1x Combine like terms: 24 + -24 = 0 -24 + 30a + 5ac + -4c + -1x = 0 + 4c + -4c + x + -1x -24 + 30a + 5ac + -4c + -1x = 4c + -4c + x + -1x Combine like terms: 4c + -4c = 0 -24 + 30a + 5ac + -4c + -1x = 0 + x + -1x -24 + 30a + 5ac + -4c + -1x = x + -1x Combine like terms: x + -1x = 0 -24 + 30a + 5ac + -4c + -1x = 0 The solution to this equation could not be determined.
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