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Simplifying 21(4x + 6) = 31(9x + -24) Reorder the terms: 21(6 + 4x) = 31(9x + -24) (6 * 21 + 4x * 21) = 31(9x + -24) (126 + 84x) = 31(9x + -24) Reorder the terms: 126 + 84x = 31(-24 + 9x) 126 + 84x = (-24 * 31 + 9x * 31) 126 + 84x = (-744 + 279x) Solving 126 + 84x = -744 + 279x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-279x' to each side of the equation. 126 + 84x + -279x = -744 + 279x + -279x Combine like terms: 84x + -279x = -195x 126 + -195x = -744 + 279x + -279x Combine like terms: 279x + -279x = 0 126 + -195x = -744 + 0 126 + -195x = -744 Add '-126' to each side of the equation. 126 + -126 + -195x = -744 + -126 Combine like terms: 126 + -126 = 0 0 + -195x = -744 + -126 -195x = -744 + -126 Combine like terms: -744 + -126 = -870 -195x = -870 Divide each side by '-195'. x = 4.461538462 Simplifying x = 4.461538462
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