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Simplifying 3x + 5x + 19 = 2x + 31 Reorder the terms: 19 + 3x + 5x = 2x + 31 Combine like terms: 3x + 5x = 8x 19 + 8x = 2x + 31 Reorder the terms: 19 + 8x = 31 + 2x Solving 19 + 8x = 31 + 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. 19 + 8x + -2x = 31 + 2x + -2x Combine like terms: 8x + -2x = 6x 19 + 6x = 31 + 2x + -2x Combine like terms: 2x + -2x = 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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