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Simplifying -2(-4x + 1) = -5 + 7x Reorder the terms: -2(1 + -4x) = -5 + 7x (1 * -2 + -4x * -2) = -5 + 7x (-2 + 8x) = -5 + 7x Solving -2 + 8x = -5 + 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 + 8x + -7x = -5 + 7x + -7x Combine like terms: 8x + -7x = 1x -2 + 1x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + 1x = -5 + 0 -2 + 1x = -5 Add '2' to each side of the equation. -2 + 2 + 1x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -5 + 2 1x = -5 + 2 Combine like terms: -5 + 2 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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