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Simplifying 6x + 19 = 83 + -2x Reorder the terms: 19 + 6x = 83 + -2x Solving 19 + 6x = 83 + -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 + 6x + 2x = 83 + -2x + 2x Combine like terms: 6x + 2x = 8x 19 + 8x = 83 + -2x + 2x Combine like terms: -2x + 2x = 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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