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Simplifying 12x + -138 = 3x + 42 Reorder the terms: -138 + 12x = 3x + 42 Reorder the terms: -138 + 12x = 42 + 3x Solving -138 + 12x = 42 + 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. -138 + 12x + -3x = 42 + 3x + -3x Combine like terms: 12x + -3x = 9x -138 + 9x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 -138 + 9x = 42 + 0 -138 + 9x = 42 Add '138' to each side of the equation. -138 + 138 + 9x = 42 + 138 Combine like terms: -138 + 138 = 0 0 + 9x = 42 + 138 9x = 42 + 138 Combine like terms: 42 + 138 = 180 9x = 180 Divide each side by '9'. x = 20 Simplifying x = 20
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