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Simplifying -2(7x + -2) = -32 + -2x Reorder the terms: -2(-2 + 7x) = -32 + -2x (-2 * -2 + 7x * -2) = -32 + -2x (4 + -14x) = -32 + -2x Solving 4 + -14x = -32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + -14x + 2x = -32 + -2x + 2x Combine like terms: -14x + 2x = -12x 4 + -12x = -32 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + -12x = -32 + 0 4 + -12x = -32 Add '-4' to each side of the equation. 4 + -4 + -12x = -32 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = -32 + -4 -12x = -32 + -4 Combine like terms: -32 + -4 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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