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Simplifying 22(134 + x) = 11(3x + 550) (134 * 22 + x * 22) = 11(3x + 550) (2948 + 22x) = 11(3x + 550) Reorder the terms: 2948 + 22x = 11(550 + 3x) 2948 + 22x = (550 * 11 + 3x * 11) 2948 + 22x = (6050 + 33x) Solving 2948 + 22x = 6050 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. 2948 + 22x + -33x = 6050 + 33x + -33x Combine like terms: 22x + -33x = -11x 2948 + -11x = 6050 + 33x + -33x Combine like terms: 33x + -33x = 0 2948 + -11x = 6050 + 0 2948 + -11x = 6050 Add '-2948' to each side of the equation. 2948 + -2948 + -11x = 6050 + -2948 Combine like terms: 2948 + -2948 = 0 0 + -11x = 6050 + -2948 -11x = 6050 + -2948 Combine like terms: 6050 + -2948 = 3102 -11x = 3102 Divide each side by '-11'. x = -282 Simplifying x = -282
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