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Simplifying 8(-4x + 1) = -20x + -16 Reorder the terms: 8(1 + -4x) = -20x + -16 (1 * 8 + -4x * 8) = -20x + -16 (8 + -32x) = -20x + -16 Reorder the terms: 8 + -32x = -16 + -20x Solving 8 + -32x = -16 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 8 + -32x + 20x = -16 + -20x + 20x Combine like terms: -32x + 20x = -12x 8 + -12x = -16 + -20x + 20x Combine like terms: -20x + 20x = 0 8 + -12x = -16 + 0 8 + -12x = -16 Add '-8' to each side of the equation. 8 + -8 + -12x = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -12x = -16 + -8 -12x = -16 + -8 Combine like terms: -16 + -8 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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