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Simplifying 3(5x + 8) + -2(x + -6) = 0 Reorder the terms: 3(8 + 5x) + -2(x + -6) = 0 (8 * 3 + 5x * 3) + -2(x + -6) = 0 (24 + 15x) + -2(x + -6) = 0 Reorder the terms: 24 + 15x + -2(-6 + x) = 0 24 + 15x + (-6 * -2 + x * -2) = 0 24 + 15x + (12 + -2x) = 0 Reorder the terms: 24 + 12 + 15x + -2x = 0 Combine like terms: 24 + 12 = 36 36 + 15x + -2x = 0 Combine like terms: 15x + -2x = 13x 36 + 13x = 0 Solving 36 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 13x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 13x = 0 + -36 13x = 0 + -36 Combine like terms: 0 + -36 = -36 13x = -36 Divide each side by '13'. x = -2.769230769 Simplifying x = -2.769230769
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