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Simplifying 5x + 20(97 + -1x) = 1265 5x + (97 * 20 + -1x * 20) = 1265 5x + (1940 + -20x) = 1265 Reorder the terms: 1940 + 5x + -20x = 1265 Combine like terms: 5x + -20x = -15x 1940 + -15x = 1265 Solving 1940 + -15x = 1265 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1940' to each side of the equation. 1940 + -1940 + -15x = 1265 + -1940 Combine like terms: 1940 + -1940 = 0 0 + -15x = 1265 + -1940 -15x = 1265 + -1940 Combine like terms: 1265 + -1940 = -675 -15x = -675 Divide each side by '-15'. x = 45 Simplifying x = 45
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