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Simplifying -126 = -6(7x + -7) Reorder the terms: -126 = -6(-7 + 7x) -126 = (-7 * -6 + 7x * -6) -126 = (42 + -42x) Solving -126 = 42 + -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. -126 + 42x = 42 + -42x + 42x Combine like terms: -42x + 42x = 0 -126 + 42x = 42 + 0 -126 + 42x = 42 Add '126' to each side of the equation. -126 + 126 + 42x = 42 + 126 Combine like terms: -126 + 126 = 0 0 + 42x = 42 + 126 42x = 42 + 126 Combine like terms: 42 + 126 = 168 42x = 168 Divide each side by '42'. x = 4 Simplifying x = 4
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