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Simplifying 2x + -1(8x + 4) = 8x + -32 Reorder the terms: 2x + -1(4 + 8x) = 8x + -32 2x + (4 * -1 + 8x * -1) = 8x + -32 2x + (-4 + -8x) = 8x + -32 Reorder the terms: -4 + 2x + -8x = 8x + -32 Combine like terms: 2x + -8x = -6x -4 + -6x = 8x + -32 Reorder the terms: -4 + -6x = -32 + 8x Solving -4 + -6x = -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. -4 + -6x + -8x = -32 + 8x + -8x Combine like terms: -6x + -8x = -14x -4 + -14x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -14x = -32 + 0 -4 + -14x = -32 Add '4' to each side of the equation. -4 + 4 + -14x = -32 + 4 Combine like terms: -4 + 4 = 0 0 + -14x = -32 + 4 -14x = -32 + 4 Combine like terms: -32 + 4 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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