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Simplifying 4(c + -2) = 14 + -2(3 + -2x) Reorder the terms: 4(-2 + c) = 14 + -2(3 + -2x) (-2 * 4 + c * 4) = 14 + -2(3 + -2x) (-8 + 4c) = 14 + -2(3 + -2x) -8 + 4c = 14 + (3 * -2 + -2x * -2) -8 + 4c = 14 + (-6 + 4x) Combine like terms: 14 + -6 = 8 -8 + 4c = 8 + 4x Solving -8 + 4c = 8 + 4x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4c = 8 + 8 + 4x Combine like terms: -8 + 8 = 0 0 + 4c = 8 + 8 + 4x 4c = 8 + 8 + 4x Combine like terms: 8 + 8 = 16 4c = 16 + 4x Divide each side by '4'. c = 4 + x Simplifying c = 4 + x
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