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Simplifying 6(1 + -2x) = 6 + -7x (1 * 6 + -2x * 6) = 6 + -7x (6 + -12x) = 6 + -7x Add '-6' to each side of the equation. 6 + -6 + -12x = 6 + -6 + -7x Combine like terms: 6 + -6 = 0 0 + -12x = 6 + -6 + -7x -12x = 6 + -6 + -7x Combine like terms: 6 + -6 = 0 -12x = 0 + -7x -12x = -7x Solving -12x = -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. -12x + 7x = -7x + 7x Combine like terms: -12x + 7x = -5x -5x = -7x + 7x Combine like terms: -7x + 7x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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