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Simplifying -6 + 6x = -6(1 + -7x) -6 + 6x = (1 * -6 + -7x * -6) -6 + 6x = (-6 + 42x) Add '6' to each side of the equation. -6 + 6 + 6x = -6 + 6 + 42x Combine like terms: -6 + 6 = 0 0 + 6x = -6 + 6 + 42x 6x = -6 + 6 + 42x Combine like terms: -6 + 6 = 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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