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Simplifying -6(x + -5) = -6(3x + 5) Reorder the terms: -6(-5 + x) = -6(3x + 5) (-5 * -6 + x * -6) = -6(3x + 5) (30 + -6x) = -6(3x + 5) Reorder the terms: 30 + -6x = -6(5 + 3x) 30 + -6x = (5 * -6 + 3x * -6) 30 + -6x = (-30 + -18x) Solving 30 + -6x = -30 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 30 + -6x + 18x = -30 + -18x + 18x Combine like terms: -6x + 18x = 12x 30 + 12x = -30 + -18x + 18x Combine like terms: -18x + 18x = 0 30 + 12x = -30 + 0 30 + 12x = -30 Add '-30' to each side of the equation. 30 + -30 + 12x = -30 + -30 Combine like terms: 30 + -30 = 0 0 + 12x = -30 + -30 12x = -30 + -30 Combine like terms: -30 + -30 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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