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Simplifying 4(x + 8) = 24 + -8x Reorder the terms: 4(8 + x) = 24 + -8x (8 * 4 + x * 4) = 24 + -8x (32 + 4x) = 24 + -8x Solving 32 + 4x = 24 + -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 + 4x + 8x = 24 + -8x + 8x Combine like terms: 4x + 8x = 12x 32 + 12x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 32 + 12x = 24 + 0 32 + 12x = 24 Add '-32' to each side of the equation. 32 + -32 + 12x = 24 + -32 Combine like terms: 32 + -32 = 0 0 + 12x = 24 + -32 12x = 24 + -32 Combine like terms: 24 + -32 = -8 12x = -8 Divide each side by '12'. x = -0.6666666667 Simplifying x = -0.6666666667
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