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Simplifying -7(4c + 2) = 5(2x + 1) Reorder the terms: -7(2 + 4c) = 5(2x + 1) (2 * -7 + 4c * -7) = 5(2x + 1) (-14 + -28c) = 5(2x + 1) Reorder the terms: -14 + -28c = 5(1 + 2x) -14 + -28c = (1 * 5 + 2x * 5) -14 + -28c = (5 + 10x) Solving -14 + -28c = 5 + 10x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -28c = 5 + 14 + 10x Combine like terms: -14 + 14 = 0 0 + -28c = 5 + 14 + 10x -28c = 5 + 14 + 10x Combine like terms: 5 + 14 = 19 -28c = 19 + 10x Divide each side by '-28'. c = -0.6785714286 + -0.3571428571x Simplifying c = -0.6785714286 + -0.3571428571x
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