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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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