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Simplifying -3(3x + -15) + 2(6x + 5) = 0 Reorder the terms: -3(-15 + 3x) + 2(6x + 5) = 0 (-15 * -3 + 3x * -3) + 2(6x + 5) = 0 (45 + -9x) + 2(6x + 5) = 0 Reorder the terms: 45 + -9x + 2(5 + 6x) = 0 45 + -9x + (5 * 2 + 6x * 2) = 0 45 + -9x + (10 + 12x) = 0 Reorder the terms: 45 + 10 + -9x + 12x = 0 Combine like terms: 45 + 10 = 55 55 + -9x + 12x = 0 Combine like terms: -9x + 12x = 3x 55 + 3x = 0 Solving 55 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 3x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 3x = 0 + -55 3x = 0 + -55 Combine like terms: 0 + -55 = -55 3x = -55 Divide each side by '3'. x = -18.33333333 Simplifying x = -18.33333333
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