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Simplifying 2(1 + -6x) = -7x + 32 (1 * 2 + -6x * 2) = -7x + 32 (2 + -12x) = -7x + 32 Reorder the terms: 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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