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Simplifying -6(1 + 7x) + -1 = 36 + x (1 * -6 + 7x * -6) + -1 = 36 + x (-6 + -42x) + -1 = 36 + x Reorder the terms: -6 + -1 + -42x = 36 + x Combine like terms: -6 + -1 = -7 -7 + -42x = 36 + x Solving -7 + -42x = 36 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + -42x + -1x = 36 + x + -1x Combine like terms: -42x + -1x = -43x -7 + -43x = 36 + x + -1x Combine like terms: x + -1x = 0 -7 + -43x = 36 + 0 -7 + -43x = 36 Add '7' to each side of the equation. -7 + 7 + -43x = 36 + 7 Combine like terms: -7 + 7 = 0 0 + -43x = 36 + 7 -43x = 36 + 7 Combine like terms: 36 + 7 = 43 -43x = 43 Divide each side by '-43'. x = -1 Simplifying x = -1
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