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Simplifying -30 + -6x = -6(5 + 7x) -30 + -6x = (5 * -6 + 7x * -6) -30 + -6x = (-30 + -42x) Add '30' to each side of the equation. -30 + 30 + -6x = -30 + 30 + -42x Combine like terms: -30 + 30 = 0 0 + -6x = -30 + 30 + -42x -6x = -30 + 30 + -42x Combine like terms: -30 + 30 = 0 -6x = 0 + -42x -6x = -42x Solving -6x = -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -6x + 42x = -42x + 42x Combine like terms: -6x + 42x = 36x 36x = -42x + 42x Combine like terms: -42x + 42x = 0 36x = 0 Divide each side by '36'. x = 0 Simplifying x = 0
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