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Simplifying 8(5x + 4) = -4(8x + 20) Reorder the terms: 8(4 + 5x) = -4(8x + 20) (4 * 8 + 5x * 8) = -4(8x + 20) (32 + 40x) = -4(8x + 20) Reorder the terms: 32 + 40x = -4(20 + 8x) 32 + 40x = (20 * -4 + 8x * -4) 32 + 40x = (-80 + -32x) Solving 32 + 40x = -80 + -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. 32 + 40x + 32x = -80 + -32x + 32x Combine like terms: 40x + 32x = 72x 32 + 72x = -80 + -32x + 32x Combine like terms: -32x + 32x = 0 32 + 72x = -80 + 0 32 + 72x = -80 Add '-32' to each side of the equation. 32 + -32 + 72x = -80 + -32 Combine like terms: 32 + -32 = 0 0 + 72x = -80 + -32 72x = -80 + -32 Combine like terms: -80 + -32 = -112 72x = -112 Divide each side by '72'. x = -1.555555556 Simplifying x = -1.555555556
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