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Simplifying -3(6 + x) = -6(x + 5) (6 * -3 + x * -3) = -6(x + 5) (-18 + -3x) = -6(x + 5) Reorder the terms: -18 + -3x = -6(5 + x) -18 + -3x = (5 * -6 + x * -6) -18 + -3x = (-30 + -6x) Solving -18 + -3x = -30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -18 + -3x + 6x = -30 + -6x + 6x Combine like terms: -3x + 6x = 3x -18 + 3x = -30 + -6x + 6x Combine like terms: -6x + 6x = 0 -18 + 3x = -30 + 0 -18 + 3x = -30 Add '18' to each side of the equation. -18 + 18 + 3x = -30 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -30 + 18 3x = -30 + 18 Combine like terms: -30 + 18 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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