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Simplifying 4(8 + -5x) = -8x + -40 (8 * 4 + -5x * 4) = -8x + -40 (32 + -20x) = -8x + -40 Reorder the terms: 32 + -20x = -40 + -8x Solving 32 + -20x = -40 + -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. 32 + -20x + 8x = -40 + -8x + 8x Combine like terms: -20x + 8x = -12x 32 + -12x = -40 + -8x + 8x Combine like terms: -8x + 8x = 0 32 + -12x = -40 + 0 32 + -12x = -40 Add '-32' to each side of the equation. 32 + -32 + -12x = -40 + -32 Combine like terms: 32 + -32 = 0 0 + -12x = -40 + -32 -12x = -40 + -32 Combine like terms: -40 + -32 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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