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Simplifying 5x + 6(x + -4) = 42 Reorder the terms: 5x + 6(-4 + x) = 42 5x + (-4 * 6 + x * 6) = 42 5x + (-24 + 6x) = 42 Reorder the terms: -24 + 5x + 6x = 42 Combine like terms: 5x + 6x = 11x -24 + 11x = 42 Solving -24 + 11x = 42 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 + 11x = 42 + 24 Combine like terms: -24 + 24 = 0 0 + 11x = 42 + 24 11x = 42 + 24 Combine like terms: 42 + 24 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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