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Simplifying -1x + -6 = 1 + -7(1 + 5x) Reorder the terms: -6 + -1x = 1 + -7(1 + 5x) -6 + -1x = 1 + (1 * -7 + 5x * -7) -6 + -1x = 1 + (-7 + -35x) Combine like terms: 1 + -7 = -6 -6 + -1x = -6 + -35x Add '6' to each side of the equation. -6 + 6 + -1x = -6 + 6 + -35x Combine like terms: -6 + 6 = 0 0 + -1x = -6 + 6 + -35x -1x = -6 + 6 + -35x Combine like terms: -6 + 6 = 0 -1x = 0 + -35x -1x = -35x Solving -1x = -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -1x + 35x = -35x + 35x Combine like terms: -1x + 35x = 34x 34x = -35x + 35x Combine like terms: -35x + 35x = 0 34x = 0 Divide each side by '34'. x = 0 Simplifying x = 0
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