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Simplifying 8(4x + -4) = -5x + -32 Reorder the terms: 8(-4 + 4x) = -5x + -32 (-4 * 8 + 4x * 8) = -5x + -32 (-32 + 32x) = -5x + -32 Reorder the terms: -32 + 32x = -32 + -5x Add '32' to each side of the equation. -32 + 32 + 32x = -32 + 32 + -5x Combine like terms: -32 + 32 = 0 0 + 32x = -32 + 32 + -5x 32x = -32 + 32 + -5x Combine like terms: -32 + 32 = 0 32x = 0 + -5x 32x = -5x Solving 32x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 32x + 5x = -5x + 5x Combine like terms: 32x + 5x = 37x 37x = -5x + 5x Combine like terms: -5x + 5x = 0 37x = 0 Divide each side by '37'. x = 0 Simplifying x = 0
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