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Simplifying 5x + 8 = 46 + -3x Reorder the terms: 8 + 5x = 46 + -3x Solving 8 + 5x = 46 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + 5x + 3x = 46 + -3x + 3x Combine like terms: 5x + 3x = 8x 8 + 8x = 46 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 8x = 46 + 0 8 + 8x = 46 Add '-8' to each side of the equation. 8 + -8 + 8x = 46 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 46 + -8 8x = 46 + -8 Combine like terms: 46 + -8 = 38 8x = 38 Divide each side by '8'. x = 4.75 Simplifying x = 4.75
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