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Simplifying 2(4x + -1) + x = 8 + -1x Reorder the terms: 2(-1 + 4x) + x = 8 + -1x (-1 * 2 + 4x * 2) + x = 8 + -1x (-2 + 8x) + x = 8 + -1x Combine like terms: 8x + x = 9x -2 + 9x = 8 + -1x Solving -2 + 9x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 9x + x = 8 + -1x + x Combine like terms: 9x + x = 10x -2 + 10x = 8 + -1x + x Combine like terms: -1x + x = 0 -2 + 10x = 8 + 0 -2 + 10x = 8 Add '2' to each side of the equation. -2 + 2 + 10x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = 8 + 2 10x = 8 + 2 Combine like terms: 8 + 2 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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