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Simplifying -159 = 7(1 + -6x) + 2 -159 = (1 * 7 + -6x * 7) + 2 -159 = (7 + -42x) + 2 Reorder the terms: -159 = 7 + 2 + -42x Combine like terms: 7 + 2 = 9 -159 = 9 + -42x Solving -159 = 9 + -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. -159 + 42x = 9 + -42x + 42x Combine like terms: -42x + 42x = 0 -159 + 42x = 9 + 0 -159 + 42x = 9 Add '159' to each side of the equation. -159 + 159 + 42x = 9 + 159 Combine like terms: -159 + 159 = 0 0 + 42x = 9 + 159 42x = 9 + 159 Combine like terms: 9 + 159 = 168 42x = 168 Divide each side by '42'. x = 4 Simplifying x = 4
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