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Simplifying 6(1 + -7x) = 6 + 7x (1 * 6 + -7x * 6) = 6 + 7x (6 + -42x) = 6 + 7x Add '-6' to each side of the equation. 6 + -6 + -42x = 6 + -6 + 7x Combine like terms: 6 + -6 = 0 0 + -42x = 6 + -6 + 7x -42x = 6 + -6 + 7x Combine like terms: 6 + -6 = 0 -42x = 0 + 7x -42x = 7x Solving -42x = 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. -42x + -7x = 7x + -7x Combine like terms: -42x + -7x = -49x -49x = 7x + -7x Combine like terms: 7x + -7x = 0 -49x = 0 Divide each side by '-49'. x = 0 Simplifying x = 0
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