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Simplifying 5(c + -3) = 3(x + 8) + 1 Reorder the terms: 5(-3 + c) = 3(x + 8) + 1 (-3 * 5 + c * 5) = 3(x + 8) + 1 (-15 + 5c) = 3(x + 8) + 1 Reorder the terms: -15 + 5c = 3(8 + x) + 1 -15 + 5c = (8 * 3 + x * 3) + 1 -15 + 5c = (24 + 3x) + 1 Reorder the terms: -15 + 5c = 24 + 1 + 3x Combine like terms: 24 + 1 = 25 -15 + 5c = 25 + 3x Solving -15 + 5c = 25 + 3x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 5c = 25 + 15 + 3x Combine like terms: -15 + 15 = 0 0 + 5c = 25 + 15 + 3x 5c = 25 + 15 + 3x Combine like terms: 25 + 15 = 40 5c = 40 + 3x Divide each side by '5'. c = 8 + 0.6x Simplifying c = 8 + 0.6x
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