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Simplifying 5(c + -4) + 2(x + 1) = 3(2 + -4x) Reorder the terms: 5(-4 + c) + 2(x + 1) = 3(2 + -4x) (-4 * 5 + c * 5) + 2(x + 1) = 3(2 + -4x) (-20 + 5c) + 2(x + 1) = 3(2 + -4x) Reorder the terms: -20 + 5c + 2(1 + x) = 3(2 + -4x) -20 + 5c + (1 * 2 + x * 2) = 3(2 + -4x) -20 + 5c + (2 + 2x) = 3(2 + -4x) Reorder the terms: -20 + 2 + 5c + 2x = 3(2 + -4x) Combine like terms: -20 + 2 = -18 -18 + 5c + 2x = 3(2 + -4x) -18 + 5c + 2x = (2 * 3 + -4x * 3) -18 + 5c + 2x = (6 + -12x) Solving -18 + 5c + 2x = 6 + -12x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 5c + 18 + 2x = 6 + 18 + -12x Reorder the terms: -18 + 18 + 5c + 2x = 6 + 18 + -12x Combine like terms: -18 + 18 = 0 0 + 5c + 2x = 6 + 18 + -12x 5c + 2x = 6 + 18 + -12x Combine like terms: 6 + 18 = 24 5c + 2x = 24 + -12x Add '-2x' to each side of the equation. 5c + 2x + -2x = 24 + -12x + -2x Combine like terms: 2x + -2x = 0 5c + 0 = 24 + -12x + -2x 5c = 24 + -12x + -2x Combine like terms: -12x + -2x = -14x 5c = 24 + -14x Divide each side by '5'. c = 4.8 + -2.8x Simplifying c = 4.8 + -2.8x
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