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Simplifying 8(3 + -1x) = 4(x + 6) (3 * 8 + -1x * 8) = 4(x + 6) (24 + -8x) = 4(x + 6) Reorder the terms: 24 + -8x = 4(6 + x) 24 + -8x = (6 * 4 + x * 4) 24 + -8x = (24 + 4x) Add '-24' to each side of the equation. 24 + -24 + -8x = 24 + -24 + 4x Combine like terms: 24 + -24 = 0 0 + -8x = 24 + -24 + 4x -8x = 24 + -24 + 4x Combine like terms: 24 + -24 = 0 -8x = 0 + 4x -8x = 4x Solving -8x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8x + -4x = 4x + -4x Combine like terms: -8x + -4x = -12x -12x = 4x + -4x Combine like terms: 4x + -4x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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