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Simplifying 690(9(13 + -1x) + -4x) = 690(5(21 + -2x) + 9x) 690((13 * 9 + -1x * 9) + -4x) = 690(5(21 + -2x) + 9x) 690((117 + -9x) + -4x) = 690(5(21 + -2x) + 9x) Combine like terms: -9x + -4x = -13x 690(117 + -13x) = 690(5(21 + -2x) + 9x) (117 * 690 + -13x * 690) = 690(5(21 + -2x) + 9x) (80730 + -8970x) = 690(5(21 + -2x) + 9x) 80730 + -8970x = 690((21 * 5 + -2x * 5) + 9x) 80730 + -8970x = 690((105 + -10x) + 9x) Combine like terms: -10x + 9x = -1x 80730 + -8970x = 690(105 + -1x) 80730 + -8970x = (105 * 690 + -1x * 690) 80730 + -8970x = (72450 + -690x) Solving 80730 + -8970x = 72450 + -690x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '690x' to each side of the equation. 80730 + -8970x + 690x = 72450 + -690x + 690x Combine like terms: -8970x + 690x = -8280x 80730 + -8280x = 72450 + -690x + 690x Combine like terms: -690x + 690x = 0 80730 + -8280x = 72450 + 0 80730 + -8280x = 72450 Add '-80730' to each side of the equation. 80730 + -80730 + -8280x = 72450 + -80730 Combine like terms: 80730 + -80730 = 0 0 + -8280x = 72450 + -80730 -8280x = 72450 + -80730 Combine like terms: 72450 + -80730 = -8280 -8280x = -8280 Divide each side by '-8280'. x = 1 Simplifying x = 1
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