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