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Simplifying 5x + -1(2a + c) = 4(x + c) * forx 5x + (2a * -1 + c * -1) = 4(x + c) * forx 5x + (-2a + -1c) = 4(x + c) * forx Reorder the terms: -2a + -1c + 5x = 4(x + c) * forx Reorder the terms: -2a + -1c + 5x = 4(c + x) * forx Reorder the terms for easier multiplication: -2a + -1c + 5x = 4forx(c + x) -2a + -1c + 5x = (c * 4forx + x * 4forx) -2a + -1c + 5x = (4cforx + 4forx2) Solving -2a + -1c + 5x = 4cforx + 4forx2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'c' to each side of the equation. -2a + -1c + c + 5x = 4cforx + c + 4forx2 Combine like terms: -1c + c = 0 -2a + 0 + 5x = 4cforx + c + 4forx2 -2a + 5x = 4cforx + c + 4forx2 Reorder the terms: -2a + 5x = c + 4cforx + 4forx2 Add '-5x' to each side of the equation. -2a + 5x + -5x = c + 4cforx + 4forx2 + -5x Combine like terms: 5x + -5x = 0 -2a + 0 = c + 4cforx + 4forx2 + -5x -2a = c + 4cforx + 4forx2 + -5x Divide each side by '-2'. a = -0.5c + -2cforx + -2forx2 + 2.5x Simplifying a = -0.5c + -2cforx + -2forx2 + 2.5x
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