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Simplifying (x)(11) + (19 + -1x)(13) = 209 Reorder the terms for easier multiplication: 11x + (19 + -1x)(13) = 209 Reorder the terms for easier multiplication: 11x + 13(19 + -1x) = 209 11x + (19 * 13 + -1x * 13) = 209 11x + (247 + -13x) = 209 Reorder the terms: 247 + 11x + -13x = 209 Combine like terms: 11x + -13x = -2x 247 + -2x = 209 Solving 247 + -2x = 209 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-247' to each side of the equation. 247 + -247 + -2x = 209 + -247 Combine like terms: 247 + -247 = 0 0 + -2x = 209 + -247 -2x = 209 + -247 Combine like terms: 209 + -247 = -38 -2x = -38 Divide each side by '-2'. x = 19 Simplifying x = 19
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