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Simplifying -6(x + 5) = 5(-6 + 6x) Reorder the terms: -6(5 + x) = 5(-6 + 6x) (5 * -6 + x * -6) = 5(-6 + 6x) (-30 + -6x) = 5(-6 + 6x) -30 + -6x = (-6 * 5 + 6x * 5) -30 + -6x = (-30 + 30x) Add '30' to each side of the equation. -30 + 30 + -6x = -30 + 30 + 30x Combine like terms: -30 + 30 = 0 0 + -6x = -30 + 30 + 30x -6x = -30 + 30 + 30x Combine like terms: -30 + 30 = 0 -6x = 0 + 30x -6x = 30x Solving -6x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -6x + -30x = 30x + -30x Combine like terms: -6x + -30x = -36x -36x = 30x + -30x Combine like terms: 30x + -30x = 0 -36x = 0 Divide each side by '-36'. x = 0 Simplifying x = 0
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