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Simplifying -2(-4x + 1) + 4x + 5 = -9 Reorder the terms: -2(1 + -4x) + 4x + 5 = -9 (1 * -2 + -4x * -2) + 4x + 5 = -9 (-2 + 8x) + 4x + 5 = -9 Reorder the terms: -2 + 5 + 8x + 4x = -9 Combine like terms: -2 + 5 = 3 3 + 8x + 4x = -9 Combine like terms: 8x + 4x = 12x 3 + 12x = -9 Solving 3 + 12x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 12x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = -9 + -3 12x = -9 + -3 Combine like terms: -9 + -3 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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