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Simplifying -1 + -7x = 5 + -6(1 + 7x) -1 + -7x = 5 + (1 * -6 + 7x * -6) -1 + -7x = 5 + (-6 + -42x) Combine like terms: 5 + -6 = -1 -1 + -7x = -1 + -42x Add '1' to each side of the equation. -1 + 1 + -7x = -1 + 1 + -42x Combine like terms: -1 + 1 = 0 0 + -7x = -1 + 1 + -42x -7x = -1 + 1 + -42x Combine like terms: -1 + 1 = 0 -7x = 0 + -42x -7x = -42x Solving -7x = -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. -7x + 42x = -42x + 42x Combine like terms: -7x + 42x = 35x 35x = -42x + 42x Combine like terms: -42x + 42x = 0 35x = 0 Divide each side by '35'. x = 0 Simplifying x = 0
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