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Simplifying 2(7x + -1) = -32 + 8x Reorder the terms: 2(-1 + 7x) = -32 + 8x (-1 * 2 + 7x * 2) = -32 + 8x (-2 + 14x) = -32 + 8x Solving -2 + 14x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 14x + -8x = -32 + 8x + -8x Combine like terms: 14x + -8x = 6x -2 + 6x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + 6x = -32 + 0 -2 + 6x = -32 Add '2' to each side of the equation. -2 + 2 + 6x = -32 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = -32 + 2 6x = -32 + 2 Combine like terms: -32 + 2 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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