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Simplifying 5x + 6 = 46 + x Reorder the terms: 6 + 5x = 46 + x Solving 6 + 5x = 46 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 5x + -1x = 46 + x + -1x Combine like terms: 5x + -1x = 4x 6 + 4x = 46 + x + -1x Combine like terms: x + -1x = 0 6 + 4x = 46 + 0 6 + 4x = 46 Add '-6' to each side of the equation. 6 + -6 + 4x = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 46 + -6 4x = 46 + -6 Combine like terms: 46 + -6 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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