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Simplifying -2(1 + -6x) = -32 + 7x (1 * -2 + -6x * -2) = -32 + 7x (-2 + 12x) = -32 + 7x Solving -2 + 12x = -32 + 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. -2 + 12x + -7x = -32 + 7x + -7x Combine like terms: 12x + -7x = 5x -2 + 5x = -32 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + 5x = -32 + 0 -2 + 5x = -32 Add '2' to each side of the equation. -2 + 2 + 5x = -32 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = -32 + 2 5x = -32 + 2 Combine like terms: -32 + 2 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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