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Simplifying 5(21x + 98) = 7(50x + -105) Reorder the terms: 5(98 + 21x) = 7(50x + -105) (98 * 5 + 21x * 5) = 7(50x + -105) (490 + 105x) = 7(50x + -105) Reorder the terms: 490 + 105x = 7(-105 + 50x) 490 + 105x = (-105 * 7 + 50x * 7) 490 + 105x = (-735 + 350x) Solving 490 + 105x = -735 + 350x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-350x' to each side of the equation. 490 + 105x + -350x = -735 + 350x + -350x Combine like terms: 105x + -350x = -245x 490 + -245x = -735 + 350x + -350x Combine like terms: 350x + -350x = 0 490 + -245x = -735 + 0 490 + -245x = -735 Add '-490' to each side of the equation. 490 + -490 + -245x = -735 + -490 Combine like terms: 490 + -490 = 0 0 + -245x = -735 + -490 -245x = -735 + -490 Combine like terms: -735 + -490 = -1225 -245x = -1225 Divide each side by '-245'. x = 5 Simplifying x = 5
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