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Simplifying 8 + 3x = -2x + -52 Reorder the terms: 8 + 3x = -52 + -2x Solving 8 + 3x = -52 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 8 + 3x + 2x = -52 + -2x + 2x Combine like terms: 3x + 2x = 5x 8 + 5x = -52 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 5x = -52 + 0 8 + 5x = -52 Add '-8' to each side of the equation. 8 + -8 + 5x = -52 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -52 + -8 5x = -52 + -8 Combine like terms: -52 + -8 = -60 5x = -60 Divide each side by '5'. x = -12 Simplifying x = -12
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