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Simplifying -49(50 + -1x) = 51 + -1(x + -47) (50 * -49 + -1x * -49) = 51 + -1(x + -47) (-2450 + 49x) = 51 + -1(x + -47) Reorder the terms: -2450 + 49x = 51 + -1(-47 + x) -2450 + 49x = 51 + (-47 * -1 + x * -1) -2450 + 49x = 51 + (47 + -1x) Combine like terms: 51 + 47 = 98 -2450 + 49x = 98 + -1x Solving -2450 + 49x = 98 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2450 + 49x + x = 98 + -1x + x Combine like terms: 49x + x = 50x -2450 + 50x = 98 + -1x + x Combine like terms: -1x + x = 0 -2450 + 50x = 98 + 0 -2450 + 50x = 98 Add '2450' to each side of the equation. -2450 + 2450 + 50x = 98 + 2450 Combine like terms: -2450 + 2450 = 0 0 + 50x = 98 + 2450 50x = 98 + 2450 Combine like terms: 98 + 2450 = 2548 50x = 2548 Divide each side by '50'. x = 50.96 Simplifying x = 50.96
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