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Simplifying 5x(2a + c) = 4(x + c) (2a * 5x + c * 5x) = 4(x + c) (10ax + 5cx) = 4(x + c) Reorder the terms: 10ax + 5cx = 4(c + x) 10ax + 5cx = (c * 4 + x * 4) 10ax + 5cx = (4c + 4x) Solving 10ax + 5cx = 4c + 4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5cx' to each side of the equation. 10ax + 5cx + -5cx = 4c + -5cx + 4x Combine like terms: 5cx + -5cx = 0 10ax + 0 = 4c + -5cx + 4x 10ax = 4c + -5cx + 4x Divide each side by '10x'. a = 0.4cx-1 + -0.5c + 0.4 Simplifying a = 0.4cx-1 + -0.5c + 0.4 Reorder the terms: a = 0.4 + -0.5c + 0.4cx-1
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