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Simplifying 13x + -46 = 5x + 4 + 3x Reorder the terms: -46 + 13x = 5x + 4 + 3x Reorder the terms: -46 + 13x = 4 + 5x + 3x Combine like terms: 5x + 3x = 8x -46 + 13x = 4 + 8x Solving -46 + 13x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -46 + 13x + -8x = 4 + 8x + -8x Combine like terms: 13x + -8x = 5x -46 + 5x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -46 + 5x = 4 + 0 -46 + 5x = 4 Add '46' to each side of the equation. -46 + 46 + 5x = 4 + 46 Combine like terms: -46 + 46 = 0 0 + 5x = 4 + 46 5x = 4 + 46 Combine like terms: 4 + 46 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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