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Simplifying -7(1 + 6x) + -2 = 26 + -7x (1 * -7 + 6x * -7) + -2 = 26 + -7x (-7 + -42x) + -2 = 26 + -7x Reorder the terms: -7 + -2 + -42x = 26 + -7x Combine like terms: -7 + -2 = -9 -9 + -42x = 26 + -7x Solving -9 + -42x = 26 + -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. -9 + -42x + 7x = 26 + -7x + 7x Combine like terms: -42x + 7x = -35x -9 + -35x = 26 + -7x + 7x Combine like terms: -7x + 7x = 0 -9 + -35x = 26 + 0 -9 + -35x = 26 Add '9' to each side of the equation. -9 + 9 + -35x = 26 + 9 Combine like terms: -9 + 9 = 0 0 + -35x = 26 + 9 -35x = 26 + 9 Combine like terms: 26 + 9 = 35 -35x = 35 Divide each side by '-35'. x = -1 Simplifying x = -1
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