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Simplifying 6(550 + -1x) = 5(550 + x) (550 * 6 + -1x * 6) = 5(550 + x) (3300 + -6x) = 5(550 + x) 3300 + -6x = (550 * 5 + x * 5) 3300 + -6x = (2750 + 5x) Solving 3300 + -6x = 2750 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3300 + -6x + -5x = 2750 + 5x + -5x Combine like terms: -6x + -5x = -11x 3300 + -11x = 2750 + 5x + -5x Combine like terms: 5x + -5x = 0 3300 + -11x = 2750 + 0 3300 + -11x = 2750 Add '-3300' to each side of the equation. 3300 + -3300 + -11x = 2750 + -3300 Combine like terms: 3300 + -3300 = 0 0 + -11x = 2750 + -3300 -11x = 2750 + -3300 Combine like terms: 2750 + -3300 = -550 -11x = -550 Divide each side by '-11'. x = 50 Simplifying x = 50
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