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Simplifying (x2 + 90x + 800) + -1(x2 + 70x) = 1800 Reorder the terms: (800 + 90x + x2) + -1(x2 + 70x) = 1800 Remove parenthesis around (800 + 90x + x2) 800 + 90x + x2 + -1(x2 + 70x) = 1800 Reorder the terms: 800 + 90x + x2 + -1(70x + x2) = 1800 800 + 90x + x2 + (70x * -1 + x2 * -1) = 1800 800 + 90x + x2 + (-70x + -1x2) = 1800 Reorder the terms: 800 + 90x + -70x + x2 + -1x2 = 1800 Combine like terms: 90x + -70x = 20x 800 + 20x + x2 + -1x2 = 1800 Combine like terms: x2 + -1x2 = 0 800 + 20x + 0 = 1800 800 + 20x = 1800 Solving 800 + 20x = 1800 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-800' to each side of the equation. 800 + -800 + 20x = 1800 + -800 Combine like terms: 800 + -800 = 0 0 + 20x = 1800 + -800 20x = 1800 + -800 Combine like terms: 1800 + -800 = 1000 20x = 1000 Divide each side by '20'. x = 50 Simplifying x = 50
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