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Simplifying 84 = 12(3x + 1) Reorder the terms: 84 = 12(1 + 3x) 84 = (1 * 12 + 3x * 12) 84 = (12 + 36x) Solving 84 = 12 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 84 + -36x = 12 + 36x + -36x Combine like terms: 36x + -36x = 0 84 + -36x = 12 + 0 84 + -36x = 12 Add '-84' to each side of the equation. 84 + -84 + -36x = 12 + -84 Combine like terms: 84 + -84 = 0 0 + -36x = 12 + -84 -36x = 12 + -84 Combine like terms: 12 + -84 = -72 -36x = -72 Divide each side by '-36'. x = 2 Simplifying x = 2
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