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Simplifying 15(-13x + 19) = -13(x + -2) Reorder the terms: 15(19 + -13x) = -13(x + -2) (19 * 15 + -13x * 15) = -13(x + -2) (285 + -195x) = -13(x + -2) Reorder the terms: 285 + -195x = -13(-2 + x) 285 + -195x = (-2 * -13 + x * -13) 285 + -195x = (26 + -13x) Solving 285 + -195x = 26 + -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. 285 + -195x + 13x = 26 + -13x + 13x Combine like terms: -195x + 13x = -182x 285 + -182x = 26 + -13x + 13x Combine like terms: -13x + 13x = 0 285 + -182x = 26 + 0 285 + -182x = 26 Add '-285' to each side of the equation. 285 + -285 + -182x = 26 + -285 Combine like terms: 285 + -285 = 0 0 + -182x = 26 + -285 -182x = 26 + -285 Combine like terms: 26 + -285 = -259 -182x = -259 Divide each side by '-182'. x = 1.423076923 Simplifying x = 1.423076923
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