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Simplifying 8x + 19 = 5x + 46 Reorder the terms: 19 + 8x = 5x + 46 Reorder the terms: 19 + 8x = 46 + 5x Solving 19 + 8x = 46 + 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 + 8x + -5x = 46 + 5x + -5x Combine like terms: 8x + -5x = 3x 19 + 3x = 46 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + 3x = 46 + 0 19 + 3x = 46 Add '-19' to each side of the equation. 19 + -19 + 3x = 46 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 46 + -19 3x = 46 + -19 Combine like terms: 46 + -19 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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