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Simplifying 5(x + -4) = -4(8x + 5) Reorder the terms: 5(-4 + x) = -4(8x + 5) (-4 * 5 + x * 5) = -4(8x + 5) (-20 + 5x) = -4(8x + 5) Reorder the terms: -20 + 5x = -4(5 + 8x) -20 + 5x = (5 * -4 + 8x * -4) -20 + 5x = (-20 + -32x) Add '20' to each side of the equation. -20 + 20 + 5x = -20 + 20 + -32x Combine like terms: -20 + 20 = 0 0 + 5x = -20 + 20 + -32x 5x = -20 + 20 + -32x Combine like terms: -20 + 20 = 0 5x = 0 + -32x 5x = -32x Solving 5x = -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 5x + 32x = -32x + 32x Combine like terms: 5x + 32x = 37x 37x = -32x + 32x Combine like terms: -32x + 32x = 0 37x = 0 Divide each side by '37'. x = 0 Simplifying x = 0
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