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Simplifying 4(c + -6) = -2(x + -3) Reorder the terms: 4(-6 + c) = -2(x + -3) (-6 * 4 + c * 4) = -2(x + -3) (-24 + 4c) = -2(x + -3) Reorder the terms: -24 + 4c = -2(-3 + x) -24 + 4c = (-3 * -2 + x * -2) -24 + 4c = (6 + -2x) Solving -24 + 4c = 6 + -2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 4c = 6 + 24 + -2x Combine like terms: -24 + 24 = 0 0 + 4c = 6 + 24 + -2x 4c = 6 + 24 + -2x Combine like terms: 6 + 24 = 30 4c = 30 + -2x Divide each side by '4'. c = 7.5 + -0.5x Simplifying c = 7.5 + -0.5x
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