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Simplifying -7(1 + 6x) = -7(1 + x) (1 * -7 + 6x * -7) = -7(1 + x) (-7 + -42x) = -7(1 + x) -7 + -42x = (1 * -7 + x * -7) -7 + -42x = (-7 + -7x) Add '7' to each side of the equation. -7 + 7 + -42x = -7 + 7 + -7x Combine like terms: -7 + 7 = 0 0 + -42x = -7 + 7 + -7x -42x = -7 + 7 + -7x Combine like terms: -7 + 7 = 0 -42x = 0 + -7x -42x = -7x Solving -42x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -42x + 7x = -7x + 7x Combine like terms: -42x + 7x = -35x -35x = -7x + 7x Combine like terms: -7x + 7x = 0 -35x = 0 Divide each side by '-35'. x = 0 Simplifying x = 0
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