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Simplifying 15(13x + 22) = -26(x + -2) Reorder the terms: 15(22 + 13x) = -26(x + -2) (22 * 15 + 13x * 15) = -26(x + -2) (330 + 195x) = -26(x + -2) Reorder the terms: 330 + 195x = -26(-2 + x) 330 + 195x = (-2 * -26 + x * -26) 330 + 195x = (52 + -26x) Solving 330 + 195x = 52 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. 330 + 195x + 26x = 52 + -26x + 26x Combine like terms: 195x + 26x = 221x 330 + 221x = 52 + -26x + 26x Combine like terms: -26x + 26x = 0 330 + 221x = 52 + 0 330 + 221x = 52 Add '-330' to each side of the equation. 330 + -330 + 221x = 52 + -330 Combine like terms: 330 + -330 = 0 0 + 221x = 52 + -330 221x = 52 + -330 Combine like terms: 52 + -330 = -278 221x = -278 Divide each side by '221'. x = -1.257918552 Simplifying x = -1.257918552
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