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Simplifying 3x + 19 + 2x + -2 = 52 + -3x + 37 Reorder the terms: 19 + -2 + 3x + 2x = 52 + -3x + 37 Combine like terms: 19 + -2 = 17 17 + 3x + 2x = 52 + -3x + 37 Combine like terms: 3x + 2x = 5x 17 + 5x = 52 + -3x + 37 Reorder the terms: 17 + 5x = 52 + 37 + -3x Combine like terms: 52 + 37 = 89 17 + 5x = 89 + -3x Solving 17 + 5x = 89 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 17 + 5x + 3x = 89 + -3x + 3x Combine like terms: 5x + 3x = 8x 17 + 8x = 89 + -3x + 3x Combine like terms: -3x + 3x = 0 17 + 8x = 89 + 0 17 + 8x = 89 Add '-17' to each side of the equation. 17 + -17 + 8x = 89 + -17 Combine like terms: 17 + -17 = 0 0 + 8x = 89 + -17 8x = 89 + -17 Combine like terms: 89 + -17 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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