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Simplifying 2(x + 4) = 3(c + -2) Reorder the terms: 2(4 + x) = 3(c + -2) (4 * 2 + x * 2) = 3(c + -2) (8 + 2x) = 3(c + -2) Reorder the terms: 8 + 2x = 3(-2 + c) 8 + 2x = (-2 * 3 + c * 3) 8 + 2x = (-6 + 3c) Solving 8 + 2x = -6 + 3c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2x = -6 + -8 + 3c Combine like terms: 8 + -8 = 0 0 + 2x = -6 + -8 + 3c 2x = -6 + -8 + 3c Combine like terms: -6 + -8 = -14 2x = -14 + 3c Divide each side by '2'. x = -7 + 1.5c Simplifying x = -7 + 1.5c
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