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Simplifying 12x + -3 = 82 + 3x + -4 Reorder the terms: -3 + 12x = 82 + 3x + -4 Reorder the terms: -3 + 12x = 82 + -4 + 3x Combine like terms: 82 + -4 = 78 -3 + 12x = 78 + 3x Solving -3 + 12x = 78 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 12x + -3x = 78 + 3x + -3x Combine like terms: 12x + -3x = 9x -3 + 9x = 78 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 9x = 78 + 0 -3 + 9x = 78 Add '3' to each side of the equation. -3 + 3 + 9x = 78 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 78 + 3 9x = 78 + 3 Combine like terms: 78 + 3 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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