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Simplifying 3x + -4 + -9x = -52 Reorder the terms: -4 + 3x + -9x = -52 Combine like terms: 3x + -9x = -6x -4 + -6x = -52 Solving -4 + -6x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -6x = -52 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = -52 + 4 -6x = -52 + 4 Combine like terms: -52 + 4 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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