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Simplifying 3x + 4(5x + -6) = (38) Reorder the terms: 3x + 4(-6 + 5x) = (38) 3x + (-6 * 4 + 5x * 4) = (38) 3x + (-24 + 20x) = (38) Reorder the terms: -24 + 3x + 20x = (38) Combine like terms: 3x + 20x = 23x -24 + 23x = (38) -24 + 23x = 38 Solving -24 + 23x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 23x = 38 + 24 Combine like terms: -24 + 24 = 0 0 + 23x = 38 + 24 23x = 38 + 24 Combine like terms: 38 + 24 = 62 23x = 62 Divide each side by '23'. x = 2.695652174 Simplifying x = 2.695652174
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