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Simplifying -1(4x + -13) + 3(5x + 8) = 0 Reorder the terms: -1(-13 + 4x) + 3(5x + 8) = 0 (-13 * -1 + 4x * -1) + 3(5x + 8) = 0 (13 + -4x) + 3(5x + 8) = 0 Reorder the terms: 13 + -4x + 3(8 + 5x) = 0 13 + -4x + (8 * 3 + 5x * 3) = 0 13 + -4x + (24 + 15x) = 0 Reorder the terms: 13 + 24 + -4x + 15x = 0 Combine like terms: 13 + 24 = 37 37 + -4x + 15x = 0 Combine like terms: -4x + 15x = 11x 37 + 11x = 0 Solving 37 + 11x = 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 + 11x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 11x = 0 + -37 11x = 0 + -37 Combine like terms: 0 + -37 = -37 11x = -37 Divide each side by '11'. x = -3.363636364 Simplifying x = -3.363636364
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