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Simplifying -6(3 + 6x) = -3(5x + 20) (3 * -6 + 6x * -6) = -3(5x + 20) (-18 + -36x) = -3(5x + 20) Reorder the terms: -18 + -36x = -3(20 + 5x) -18 + -36x = (20 * -3 + 5x * -3) -18 + -36x = (-60 + -15x) Solving -18 + -36x = -60 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -18 + -36x + 15x = -60 + -15x + 15x Combine like terms: -36x + 15x = -21x -18 + -21x = -60 + -15x + 15x Combine like terms: -15x + 15x = 0 -18 + -21x = -60 + 0 -18 + -21x = -60 Add '18' to each side of the equation. -18 + 18 + -21x = -60 + 18 Combine like terms: -18 + 18 = 0 0 + -21x = -60 + 18 -21x = -60 + 18 Combine like terms: -60 + 18 = -42 -21x = -42 Divide each side by '-21'. x = 2 Simplifying x = 2
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