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Simplifying 12(x + 4) = 3(4c + 4) + 36 Reorder the terms: 12(4 + x) = 3(4c + 4) + 36 (4 * 12 + x * 12) = 3(4c + 4) + 36 (48 + 12x) = 3(4c + 4) + 36 Reorder the terms: 48 + 12x = 3(4 + 4c) + 36 48 + 12x = (4 * 3 + 4c * 3) + 36 48 + 12x = (12 + 12c) + 36 Reorder the terms: 48 + 12x = 12 + 36 + 12c Combine like terms: 12 + 36 = 48 48 + 12x = 48 + 12c Add '-48' to each side of the equation. 48 + -48 + 12x = 48 + -48 + 12c Combine like terms: 48 + -48 = 0 0 + 12x = 48 + -48 + 12c 12x = 48 + -48 + 12c Combine like terms: 48 + -48 = 0 12x = 0 + 12c 12x = 12c Solving 12x = 12c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '12'. x = c Simplifying x = c
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