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Simplifying 3(-5x + -6) = 3(-9x + 2) Reorder the terms: 3(-6 + -5x) = 3(-9x + 2) (-6 * 3 + -5x * 3) = 3(-9x + 2) (-18 + -15x) = 3(-9x + 2) Reorder the terms: -18 + -15x = 3(2 + -9x) -18 + -15x = (2 * 3 + -9x * 3) -18 + -15x = (6 + -27x) Solving -18 + -15x = 6 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -18 + -15x + 27x = 6 + -27x + 27x Combine like terms: -15x + 27x = 12x -18 + 12x = 6 + -27x + 27x Combine like terms: -27x + 27x = 0 -18 + 12x = 6 + 0 -18 + 12x = 6 Add '18' to each side of the equation. -18 + 18 + 12x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 6 + 18 12x = 6 + 18 Combine like terms: 6 + 18 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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