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Simplifying 4(3x + -8) = -20 + 8x Reorder the terms: 4(-8 + 3x) = -20 + 8x (-8 * 4 + 3x * 4) = -20 + 8x (-32 + 12x) = -20 + 8x Solving -32 + 12x = -20 + 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 + 12x + -8x = -20 + 8x + -8x Combine like terms: 12x + -8x = 4x -32 + 4x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + 4x = -20 + 0 -32 + 4x = -20 Add '32' to each side of the equation. -32 + 32 + 4x = -20 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = -20 + 32 4x = -20 + 32 Combine like terms: -20 + 32 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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