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Simplifying 3(x + 4) + 5(6x + 5) = 0 Reorder the terms: 3(4 + x) + 5(6x + 5) = 0 (4 * 3 + x * 3) + 5(6x + 5) = 0 (12 + 3x) + 5(6x + 5) = 0 Reorder the terms: 12 + 3x + 5(5 + 6x) = 0 12 + 3x + (5 * 5 + 6x * 5) = 0 12 + 3x + (25 + 30x) = 0 Reorder the terms: 12 + 25 + 3x + 30x = 0 Combine like terms: 12 + 25 = 37 37 + 3x + 30x = 0 Combine like terms: 3x + 30x = 33x 37 + 33x = 0 Solving 37 + 33x = 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 + 33x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 33x = 0 + -37 33x = 0 + -37 Combine like terms: 0 + -37 = -37 33x = -37 Divide each side by '33'. x = -1.121212121 Simplifying x = -1.121212121
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