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Simplifying (936 + x) + 0.07(936 + x) + 0.2(936 + x) = 1300 Remove parenthesis around (936 + x) 936 + x + 0.07(936 + x) + 0.2(936 + x) = 1300 936 + x + (936 * 0.07 + x * 0.07) + 0.2(936 + x) = 1300 936 + x + (65.52 + 0.07x) + 0.2(936 + x) = 1300 936 + x + 65.52 + 0.07x + (936 * 0.2 + x * 0.2) = 1300 936 + x + 65.52 + 0.07x + (187.2 + 0.2x) = 1300 Reorder the terms: 936 + 65.52 + 187.2 + x + 0.07x + 0.2x = 1300 Combine like terms: 936 + 65.52 = 1001.52 1001.52 + 187.2 + x + 0.07x + 0.2x = 1300 Combine like terms: 1001.52 + 187.2 = 1188.72 1188.72 + x + 0.07x + 0.2x = 1300 Combine like terms: x + 0.07x = 1.07x 1188.72 + 1.07x + 0.2x = 1300 Combine like terms: 1.07x + 0.2x = 1.27x 1188.72 + 1.27x = 1300 Solving 1188.72 + 1.27x = 1300 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1188.72' to each side of the equation. 1188.72 + -1188.72 + 1.27x = 1300 + -1188.72 Combine like terms: 1188.72 + -1188.72 = 0.00 0.00 + 1.27x = 1300 + -1188.72 1.27x = 1300 + -1188.72 Combine like terms: 1300 + -1188.72 = 111.28 1.27x = 111.28 Divide each side by '1.27'. x = 87.62204724 Simplifying x = 87.62204724
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