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Simplifying -3x + -2 = 6x + 52 Reorder the terms: -2 + -3x = 6x + 52 Reorder the terms: -2 + -3x = 52 + 6x Solving -2 + -3x = 52 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + -3x + -6x = 52 + 6x + -6x Combine like terms: -3x + -6x = -9x -2 + -9x = 52 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -9x = 52 + 0 -2 + -9x = 52 Add '2' to each side of the equation. -2 + 2 + -9x = 52 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 52 + 2 -9x = 52 + 2 Combine like terms: 52 + 2 = 54 -9x = 54 Divide each side by '-9'. x = -6 Simplifying x = -6
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