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Simplifying 2(5x + -4) = 8x + -32 Reorder the terms: 2(-4 + 5x) = 8x + -32 (-4 * 2 + 5x * 2) = 8x + -32 (-8 + 10x) = 8x + -32 Reorder the terms: -8 + 10x = -32 + 8x Solving -8 + 10x = -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. -8 + 10x + -8x = -32 + 8x + -8x Combine like terms: 10x + -8x = 2x -8 + 2x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 2x = -32 + 0 -8 + 2x = -32 Add '8' to each side of the equation. -8 + 8 + 2x = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -32 + 8 2x = -32 + 8 Combine like terms: -32 + 8 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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