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Simplifying 11(19 + -1x) + 13(19 + -1x) = 209 (19 * 11 + -1x * 11) + 13(19 + -1x) = 209 (209 + -11x) + 13(19 + -1x) = 209 209 + -11x + (19 * 13 + -1x * 13) = 209 209 + -11x + (247 + -13x) = 209 Reorder the terms: 209 + 247 + -11x + -13x = 209 Combine like terms: 209 + 247 = 456 456 + -11x + -13x = 209 Combine like terms: -11x + -13x = -24x 456 + -24x = 209 Solving 456 + -24x = 209 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-456' to each side of the equation. 456 + -456 + -24x = 209 + -456 Combine like terms: 456 + -456 = 0 0 + -24x = 209 + -456 -24x = 209 + -456 Combine like terms: 209 + -456 = -247 -24x = -247 Divide each side by '-24'. x = 10.29166667 Simplifying x = 10.29166667
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