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Simplifying 2(x + 6) = 3(c + -1) + -15 Reorder the terms: 2(6 + x) = 3(c + -1) + -15 (6 * 2 + x * 2) = 3(c + -1) + -15 (12 + 2x) = 3(c + -1) + -15 Reorder the terms: 12 + 2x = 3(-1 + c) + -15 12 + 2x = (-1 * 3 + c * 3) + -15 12 + 2x = (-3 + 3c) + -15 Reorder the terms: 12 + 2x = -3 + -15 + 3c Combine like terms: -3 + -15 = -18 12 + 2x = -18 + 3c Solving 12 + 2x = -18 + 3c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2x = -18 + -12 + 3c Combine like terms: 12 + -12 = 0 0 + 2x = -18 + -12 + 3c 2x = -18 + -12 + 3c Combine like terms: -18 + -12 = -30 2x = -30 + 3c Divide each side by '2'. x = -15 + 1.5c Simplifying x = -15 + 1.5c
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