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Simplifying 9(72 + -1x) = 7(x + -40) (72 * 9 + -1x * 9) = 7(x + -40) (648 + -9x) = 7(x + -40) Reorder the terms: 648 + -9x = 7(-40 + x) 648 + -9x = (-40 * 7 + x * 7) 648 + -9x = (-280 + 7x) Solving 648 + -9x = -280 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 648 + -9x + -7x = -280 + 7x + -7x Combine like terms: -9x + -7x = -16x 648 + -16x = -280 + 7x + -7x Combine like terms: 7x + -7x = 0 648 + -16x = -280 + 0 648 + -16x = -280 Add '-648' to each side of the equation. 648 + -648 + -16x = -280 + -648 Combine like terms: 648 + -648 = 0 0 + -16x = -280 + -648 -16x = -280 + -648 Combine like terms: -280 + -648 = -928 -16x = -928 Divide each side by '-16'. x = 58 Simplifying x = 58
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