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Simplifying 6(3x + -4) = 5x + 8 Reorder the terms: 6(-4 + 3x) = 5x + 8 (-4 * 6 + 3x * 6) = 5x + 8 (-24 + 18x) = 5x + 8 Reorder the terms: -24 + 18x = 8 + 5x Solving -24 + 18x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 18x + -5x = 8 + 5x + -5x Combine like terms: 18x + -5x = 13x -24 + 13x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 13x = 8 + 0 -24 + 13x = 8 Add '24' to each side of the equation. -24 + 24 + 13x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 13x = 8 + 24 13x = 8 + 24 Combine like terms: 8 + 24 = 32 13x = 32 Divide each side by '13'. x = 2.461538462 Simplifying x = 2.461538462
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