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Simplifying 6(x + -4) = 42 + -5x Reorder the terms: 6(-4 + x) = 42 + -5x (-4 * 6 + x * 6) = 42 + -5x (-24 + 6x) = 42 + -5x Solving -24 + 6x = 42 + -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 + 6x + 5x = 42 + -5x + 5x Combine like terms: 6x + 5x = 11x -24 + 11x = 42 + -5x + 5x Combine like terms: -5x + 5x = 0 -24 + 11x = 42 + 0 -24 + 11x = 42 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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