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Simplifying 5x + 46 = 8x + 13 Reorder the terms: 46 + 5x = 8x + 13 Reorder the terms: 46 + 5x = 13 + 8x Solving 46 + 5x = 13 + 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 + 5x + -8x = 13 + 8x + -8x Combine like terms: 5x + -8x = -3x 46 + -3x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 46 + -3x = 13 + 0 46 + -3x = 13 Add '-46' to each side of the equation. 46 + -46 + -3x = 13 + -46 Combine like terms: 46 + -46 = 0 0 + -3x = 13 + -46 -3x = 13 + -46 Combine like terms: 13 + -46 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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