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Simplifying 65x + 35(x + 180) = 65 + 35 Reorder the terms: 65x + 35(180 + x) = 65 + 35 65x + (180 * 35 + x * 35) = 65 + 35 65x + (6300 + 35x) = 65 + 35 Reorder the terms: 6300 + 65x + 35x = 65 + 35 Combine like terms: 65x + 35x = 100x 6300 + 100x = 65 + 35 Combine like terms: 65 + 35 = 100 6300 + 100x = 100 Solving 6300 + 100x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6300' to each side of the equation. 6300 + -6300 + 100x = 100 + -6300 Combine like terms: 6300 + -6300 = 0 0 + 100x = 100 + -6300 100x = 100 + -6300 Combine like terms: 100 + -6300 = -6200 100x = -6200 Divide each side by '100'. x = -62 Simplifying x = -62
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