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Simplifying 3x + 19 = 83 + -5x Reorder the terms: 19 + 3x = 83 + -5x Solving 19 + 3x = 83 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 19 + 3x + 5x = 83 + -5x + 5x Combine like terms: 3x + 5x = 8x 19 + 8x = 83 + -5x + 5x Combine like terms: -5x + 5x = 0 19 + 8x = 83 + 0 19 + 8x = 83 Add '-19' to each side of the equation. 19 + -19 + 8x = 83 + -19 Combine like terms: 19 + -19 = 0 0 + 8x = 83 + -19 8x = 83 + -19 Combine like terms: 83 + -19 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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