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Simplifying 4 + 5(2x + -4) = 8x + -32 Reorder the terms: 4 + 5(-4 + 2x) = 8x + -32 4 + (-4 * 5 + 2x * 5) = 8x + -32 4 + (-20 + 10x) = 8x + -32 Combine like terms: 4 + -20 = -16 -16 + 10x = 8x + -32 Reorder the terms: -16 + 10x = -32 + 8x Solving -16 + 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. -16 + 10x + -8x = -32 + 8x + -8x Combine like terms: 10x + -8x = 2x -16 + 2x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + 2x = -32 + 0 -16 + 2x = -32 Add '16' to each side of the equation. -16 + 16 + 2x = -32 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -32 + 16 2x = -32 + 16 Combine like terms: -32 + 16 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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