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Simplifying (X * 7) + -1(500 + X) = (500 + -100) Reorder the terms for easier multiplication: (7X) + -1(500 + X) = (500 + -100) (7X) + (500 * -1 + X * -1) = (500 + -100) (7X) + (-500 + -1X) = (500 + -100) Reorder the terms: -500 + (7X) + -1X = (500 + -100) Combine like terms: (7X) + -1X = 6X -500 + 6X = (500 + -100) Combine like terms: 500 + -100 = 400 -500 + 6X = (400) -500 + 6X = 400 Solving -500 + 6X = 400 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '500' to each side of the equation. -500 + 500 + 6X = 400 + 500 Combine like terms: -500 + 500 = 0 0 + 6X = 400 + 500 6X = 400 + 500 Combine like terms: 400 + 500 = 900 6X = 900 Divide each side by '6'. X = 150 Simplifying X = 150
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