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Simplifying 3x + -17 = -2x + -52 Reorder the terms: -17 + 3x = -2x + -52 Reorder the terms: -17 + 3x = -52 + -2x Solving -17 + 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. -17 + 3x + 2x = -52 + -2x + 2x Combine like terms: 3x + 2x = 5x -17 + 5x = -52 + -2x + 2x Combine like terms: -2x + 2x = 0 -17 + 5x = -52 + 0 -17 + 5x = -52 Add '17' to each side of the equation. -17 + 17 + 5x = -52 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = -52 + 17 5x = -52 + 17 Combine like terms: -52 + 17 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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