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Simplifying 50(x + 10) + (x + 20) = 180 Reorder the terms: 50(10 + x) + (x + 20) = 180 (10 * 50 + x * 50) + (x + 20) = 180 (500 + 50x) + (x + 20) = 180 Reorder the terms: 500 + 50x + (20 + x) = 180 Remove parenthesis around (20 + x) 500 + 50x + 20 + x = 180 Reorder the terms: 500 + 20 + 50x + x = 180 Combine like terms: 500 + 20 = 520 520 + 50x + x = 180 Combine like terms: 50x + x = 51x 520 + 51x = 180 Solving 520 + 51x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-520' to each side of the equation. 520 + -520 + 51x = 180 + -520 Combine like terms: 520 + -520 = 0 0 + 51x = 180 + -520 51x = 180 + -520 Combine like terms: 180 + -520 = -340 51x = -340 Divide each side by '51'. x = -6.666666667 Simplifying x = -6.666666667
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