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Simplifying 3(c + -5) + 4x = 6 Reorder the terms: 3(-5 + c) + 4x = 6 (-5 * 3 + c * 3) + 4x = 6 (-15 + 3c) + 4x = 6 Solving -15 + 3c + 4x = 6 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 + 3c + 15 + 4x = 6 + 15 Reorder the terms: -15 + 15 + 3c + 4x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 3c + 4x = 6 + 15 3c + 4x = 6 + 15 Combine like terms: 6 + 15 = 21 3c + 4x = 21 Add '-4x' to each side of the equation. 3c + 4x + -4x = 21 + -4x Combine like terms: 4x + -4x = 0 3c + 0 = 21 + -4x 3c = 21 + -4x Divide each side by '3'. c = 7 + -1.333333333x Simplifying c = 7 + -1.333333333x
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