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Simplifying -2(x + -4) = -12 + -7x Reorder the terms: -2(-4 + x) = -12 + -7x (-4 * -2 + x * -2) = -12 + -7x (8 + -2x) = -12 + -7x Solving 8 + -2x = -12 + -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. 8 + -2x + 7x = -12 + -7x + 7x Combine like terms: -2x + 7x = 5x 8 + 5x = -12 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 5x = -12 + 0 8 + 5x = -12 Add '-8' to each side of the equation. 8 + -8 + 5x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -12 + -8 5x = -12 + -8 Combine like terms: -12 + -8 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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