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Simplifying 5[1 + c] = 6[2 + x] [1 * 5 + c * 5] = 6[2 + x] [5 + 5c] = 6[2 + x] 5 + 5c = [2 * 6 + x * 6] 5 + 5c = [12 + 6x] Solving 5 + 5c = 12 + 6x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5c = 12 + -5 + 6x Combine like terms: 5 + -5 = 0 0 + 5c = 12 + -5 + 6x 5c = 12 + -5 + 6x Combine like terms: 12 + -5 = 7 5c = 7 + 6x Divide each side by '5'. c = 1.4 + 1.2x Simplifying c = 1.4 + 1.2x
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