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Simplifying -2(4x + 1) + x = 8 + -5x Reorder the terms: -2(1 + 4x) + x = 8 + -5x (1 * -2 + 4x * -2) + x = 8 + -5x (-2 + -8x) + x = 8 + -5x Combine like terms: -8x + x = -7x -2 + -7x = 8 + -5x Solving -2 + -7x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2 + -7x + 5x = 8 + -5x + 5x Combine like terms: -7x + 5x = -2x -2 + -2x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + -2x = 8 + 0 -2 + -2x = 8 Add '2' to each side of the equation. -2 + 2 + -2x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 8 + 2 -2x = 8 + 2 Combine like terms: 8 + 2 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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