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Simplifying 5(5x + -105) = 4(x + 84) Reorder the terms: 5(-105 + 5x) = 4(x + 84) (-105 * 5 + 5x * 5) = 4(x + 84) (-525 + 25x) = 4(x + 84) Reorder the terms: -525 + 25x = 4(84 + x) -525 + 25x = (84 * 4 + x * 4) -525 + 25x = (336 + 4x) Solving -525 + 25x = 336 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -525 + 25x + -4x = 336 + 4x + -4x Combine like terms: 25x + -4x = 21x -525 + 21x = 336 + 4x + -4x Combine like terms: 4x + -4x = 0 -525 + 21x = 336 + 0 -525 + 21x = 336 Add '525' to each side of the equation. -525 + 525 + 21x = 336 + 525 Combine like terms: -525 + 525 = 0 0 + 21x = 336 + 525 21x = 336 + 525 Combine like terms: 336 + 525 = 861 21x = 861 Divide each side by '21'. x = 41 Simplifying x = 41
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