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Simplifying 8(3x + 4) = 12x + 24 Reorder the terms: 8(4 + 3x) = 12x + 24 (4 * 8 + 3x * 8) = 12x + 24 (32 + 24x) = 12x + 24 Reorder the terms: 32 + 24x = 24 + 12x Solving 32 + 24x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 32 + 24x + -12x = 24 + 12x + -12x Combine like terms: 24x + -12x = 12x 32 + 12x = 24 + 12x + -12x Combine like terms: 12x + -12x = 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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