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Simplifying x * 5 + 138 = x * 11 + -6 Reorder the terms for easier multiplication: 5x + 138 = x * 11 + -6 Reorder the terms: 138 + 5x = x * 11 + -6 Reorder the terms for easier multiplication: 138 + 5x = 11x + -6 Reorder the terms: 138 + 5x = -6 + 11x Solving 138 + 5x = -6 + 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 + 5x + -11x = -6 + 11x + -11x Combine like terms: 5x + -11x = -6x 138 + -6x = -6 + 11x + -11x Combine like terms: 11x + -11x = 0 138 + -6x = -6 + 0 138 + -6x = -6 Add '-138' to each side of the equation. 138 + -138 + -6x = -6 + -138 Combine like terms: 138 + -138 = 0 0 + -6x = -6 + -138 -6x = -6 + -138 Combine like terms: -6 + -138 = -144 -6x = -144 Divide each side by '-6'. x = 24 Simplifying x = 24
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