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Simplifying x * 2 + 162 = x * 11 + -9 Reorder the terms for easier multiplication: 2x + 162 = x * 11 + -9 Reorder the terms: 162 + 2x = x * 11 + -9 Reorder the terms for easier multiplication: 162 + 2x = 11x + -9 Reorder the terms: 162 + 2x = -9 + 11x Solving 162 + 2x = -9 + 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. 162 + 2x + -11x = -9 + 11x + -11x Combine like terms: 2x + -11x = -9x 162 + -9x = -9 + 11x + -11x Combine like terms: 11x + -11x = 0 162 + -9x = -9 + 0 162 + -9x = -9 Add '-162' to each side of the equation. 162 + -162 + -9x = -9 + -162 Combine like terms: 162 + -162 = 0 0 + -9x = -9 + -162 -9x = -9 + -162 Combine like terms: -9 + -162 = -171 -9x = -171 Divide each side by '-9'. x = 19 Simplifying x = 19
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