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Simplifying -1(3x + -13) + 4(5x + 6) = 0 Reorder the terms: -1(-13 + 3x) + 4(5x + 6) = 0 (-13 * -1 + 3x * -1) + 4(5x + 6) = 0 (13 + -3x) + 4(5x + 6) = 0 Reorder the terms: 13 + -3x + 4(6 + 5x) = 0 13 + -3x + (6 * 4 + 5x * 4) = 0 13 + -3x + (24 + 20x) = 0 Reorder the terms: 13 + 24 + -3x + 20x = 0 Combine like terms: 13 + 24 = 37 37 + -3x + 20x = 0 Combine like terms: -3x + 20x = 17x 37 + 17x = 0 Solving 37 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 17x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 17x = 0 + -37 17x = 0 + -37 Combine like terms: 0 + -37 = -37 17x = -37 Divide each side by '17'. x = -2.176470588 Simplifying x = -2.176470588
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