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Simplifying 6x + 138 = 11x + -12 Reorder the terms: 138 + 6x = 11x + -12 Reorder the terms: 138 + 6x = -12 + 11x Solving 138 + 6x = -12 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 138 + 6x + -11x = -12 + 11x + -11x Combine like terms: 6x + -11x = -5x 138 + -5x = -12 + 11x + -11x Combine like terms: 11x + -11x = 0 138 + -5x = -12 + 0 138 + -5x = -12 Add '-138' to each side of the equation. 138 + -138 + -5x = -12 + -138 Combine like terms: 138 + -138 = 0 0 + -5x = -12 + -138 -5x = -12 + -138 Combine like terms: -12 + -138 = -150 -5x = -150 Divide each side by '-5'. x = 30 Simplifying x = 30
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