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Simplifying 3(2x + -5) + 5(3x + 6) = 0 Reorder the terms: 3(-5 + 2x) + 5(3x + 6) = 0 (-5 * 3 + 2x * 3) + 5(3x + 6) = 0 (-15 + 6x) + 5(3x + 6) = 0 Reorder the terms: -15 + 6x + 5(6 + 3x) = 0 -15 + 6x + (6 * 5 + 3x * 5) = 0 -15 + 6x + (30 + 15x) = 0 Reorder the terms: -15 + 30 + 6x + 15x = 0 Combine like terms: -15 + 30 = 15 15 + 6x + 15x = 0 Combine like terms: 6x + 15x = 21x 15 + 21x = 0 Solving 15 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 21x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 21x = 0 + -15 21x = 0 + -15 Combine like terms: 0 + -15 = -15 21x = -15 Divide each side by '21'. x = -0.7142857143 Simplifying x = -0.7142857143
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