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Simplifying 2(cx + 12) = 3(cx + 8) Reorder the terms: 2(12 + cx) = 3(cx + 8) (12 * 2 + cx * 2) = 3(cx + 8) (24 + 2cx) = 3(cx + 8) Reorder the terms: 24 + 2cx = 3(8 + cx) 24 + 2cx = (8 * 3 + cx * 3) 24 + 2cx = (24 + 3cx) Add '-24' to each side of the equation. 24 + -24 + 2cx = 24 + -24 + 3cx Combine like terms: 24 + -24 = 0 0 + 2cx = 24 + -24 + 3cx 2cx = 24 + -24 + 3cx Combine like terms: 24 + -24 = 0 2cx = 0 + 3cx 2cx = 3cx Solving 2cx = 3cx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3cx' to each side of the equation. 2cx + -3cx = 3cx + -3cx Combine like terms: 2cx + -3cx = -1cx -1cx = 3cx + -3cx Combine like terms: 3cx + -3cx = 0 -1cx = 0 Divide each side by '-1'. cx = 0 Simplifying cx = 0 The solution to this equation could not be determined.
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