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Simplifying 20x + 19 + -5x = 7x + 31 + 2x Reorder the terms: 19 + 20x + -5x = 7x + 31 + 2x Combine like terms: 20x + -5x = 15x 19 + 15x = 7x + 31 + 2x Reorder the terms: 19 + 15x = 31 + 7x + 2x Combine like terms: 7x + 2x = 9x 19 + 15x = 31 + 9x Solving 19 + 15x = 31 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 19 + 15x + -9x = 31 + 9x + -9x Combine like terms: 15x + -9x = 6x 19 + 6x = 31 + 9x + -9x Combine like terms: 9x + -9x = 0 19 + 6x = 31 + 0 19 + 6x = 31 Add '-19' to each side of the equation. 19 + -19 + 6x = 31 + -19 Combine like terms: 19 + -19 = 0 0 + 6x = 31 + -19 6x = 31 + -19 Combine like terms: 31 + -19 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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