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Simplifying x * 4 + 82 = x * 12 + -6 Reorder the terms for easier multiplication: 4x + 82 = x * 12 + -6 Reorder the terms: 82 + 4x = x * 12 + -6 Reorder the terms for easier multiplication: 82 + 4x = 12x + -6 Reorder the terms: 82 + 4x = -6 + 12x Solving 82 + 4x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 82 + 4x + -12x = -6 + 12x + -12x Combine like terms: 4x + -12x = -8x 82 + -8x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 82 + -8x = -6 + 0 82 + -8x = -6 Add '-82' to each side of the equation. 82 + -82 + -8x = -6 + -82 Combine like terms: 82 + -82 = 0 0 + -8x = -6 + -82 -8x = -6 + -82 Combine like terms: -6 + -82 = -88 -8x = -88 Divide each side by '-8'. x = 11 Simplifying x = 11
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