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Simplifying (x + 139) * 2 = (x + -5) * 11 Reorder the terms: (139 + x) * 2 = (x + -5) * 11 Reorder the terms for easier multiplication: 2(139 + x) = (x + -5) * 11 (139 * 2 + x * 2) = (x + -5) * 11 (278 + 2x) = (x + -5) * 11 Reorder the terms: 278 + 2x = (-5 + x) * 11 Reorder the terms for easier multiplication: 278 + 2x = 11(-5 + x) 278 + 2x = (-5 * 11 + x * 11) 278 + 2x = (-55 + 11x) Solving 278 + 2x = -55 + 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. 278 + 2x + -11x = -55 + 11x + -11x Combine like terms: 2x + -11x = -9x 278 + -9x = -55 + 11x + -11x Combine like terms: 11x + -11x = 0 278 + -9x = -55 + 0 278 + -9x = -55 Add '-278' to each side of the equation. 278 + -278 + -9x = -55 + -278 Combine like terms: 278 + -278 = 0 0 + -9x = -55 + -278 -9x = -55 + -278 Combine like terms: -55 + -278 = -333 -9x = -333 Divide each side by '-9'. x = 37 Simplifying x = 37
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