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Simplifying 6(x + -4) = 75 + -5x Reorder the terms: 6(-4 + x) = 75 + -5x (-4 * 6 + x * 6) = 75 + -5x (-24 + 6x) = 75 + -5x Solving -24 + 6x = 75 + -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 = 75 + -5x + 5x Combine like terms: 6x + 5x = 11x -24 + 11x = 75 + -5x + 5x Combine like terms: -5x + 5x = 0 -24 + 11x = 75 + 0 -24 + 11x = 75 Add '24' to each side of the equation. -24 + 24 + 11x = 75 + 24 Combine like terms: -24 + 24 = 0 0 + 11x = 75 + 24 11x = 75 + 24 Combine like terms: 75 + 24 = 99 11x = 99 Divide each side by '11'. x = 9 Simplifying x = 9
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