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Simplifying 511(44x + 33) = 43(15x + 21) Reorder the terms: 511(33 + 44x) = 43(15x + 21) (33 * 511 + 44x * 511) = 43(15x + 21) (16863 + 22484x) = 43(15x + 21) Reorder the terms: 16863 + 22484x = 43(21 + 15x) 16863 + 22484x = (21 * 43 + 15x * 43) 16863 + 22484x = (903 + 645x) Solving 16863 + 22484x = 903 + 645x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-645x' to each side of the equation. 16863 + 22484x + -645x = 903 + 645x + -645x Combine like terms: 22484x + -645x = 21839x 16863 + 21839x = 903 + 645x + -645x Combine like terms: 645x + -645x = 0 16863 + 21839x = 903 + 0 16863 + 21839x = 903 Add '-16863' to each side of the equation. 16863 + -16863 + 21839x = 903 + -16863 Combine like terms: 16863 + -16863 = 0 0 + 21839x = 903 + -16863 21839x = 903 + -16863 Combine like terms: 903 + -16863 = -15960 21839x = -15960 Divide each side by '21839'. x = -0.7308026924 Simplifying x = -0.7308026924
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