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Simplifying -420x + -250(32x + -57) + -1[-49x + -21(17x + 89) + -430x] = 425(84x + -7) Reorder the terms: -420x + -250(-57 + 32x) + -1[-49x + -21(17x + 89) + -430x] = 425(84x + -7) -420x + (-57 * -250 + 32x * -250) + -1[-49x + -21(17x + 89) + -430x] = 425(84x + -7) -420x + (14250 + -8000x) + -1[-49x + -21(17x + 89) + -430x] = 425(84x + -7) Reorder the terms: -420x + 14250 + -8000x + -1[-49x + -21(89 + 17x) + -430x] = 425(84x + -7) -420x + 14250 + -8000x + -1[-49x + (89 * -21 + 17x * -21) + -430x] = 425(84x + -7) -420x + 14250 + -8000x + -1[-49x + (-1869 + -357x) + -430x] = 425(84x + -7) Reorder the terms: -420x + 14250 + -8000x + -1[-1869 + -49x + -357x + -430x] = 425(84x + -7) Combine like terms: -49x + -357x = -406x -420x + 14250 + -8000x + -1[-1869 + -406x + -430x] = 425(84x + -7) Combine like terms: -406x + -430x = -836x -420x + 14250 + -8000x + -1[-1869 + -836x] = 425(84x + -7) -420x + 14250 + -8000x + [-1869 * -1 + -836x * -1] = 425(84x + -7) -420x + 14250 + -8000x + [1869 + 836x] = 425(84x + -7) Reorder the terms: 14250 + 1869 + -420x + -8000x + 836x = 425(84x + -7) Combine like terms: 14250 + 1869 = 16119 16119 + -420x + -8000x + 836x = 425(84x + -7) Combine like terms: -420x + -8000x = -8420x 16119 + -8420x + 836x = 425(84x + -7) Combine like terms: -8420x + 836x = -7584x 16119 + -7584x = 425(84x + -7) Reorder the terms: 16119 + -7584x = 425(-7 + 84x) 16119 + -7584x = (-7 * 425 + 84x * 425) 16119 + -7584x = (-2975 + 35700x) Solving 16119 + -7584x = -2975 + 35700x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35700x' to each side of the equation. 16119 + -7584x + -35700x = -2975 + 35700x + -35700x Combine like terms: -7584x + -35700x = -43284x 16119 + -43284x = -2975 + 35700x + -35700x Combine like terms: 35700x + -35700x = 0 16119 + -43284x = -2975 + 0 16119 + -43284x = -2975 Add '-16119' to each side of the equation. 16119 + -16119 + -43284x = -2975 + -16119 Combine like terms: 16119 + -16119 = 0 0 + -43284x = -2975 + -16119 -43284x = -2975 + -16119 Combine like terms: -2975 + -16119 = -19094 -43284x = -19094 Divide each side by '-43284'. x = 0.4411329822 Simplifying x = 0.4411329822
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