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Simplifying x + 46 = 5x + 10 Reorder the terms: 46 + x = 5x + 10 Reorder the terms: 46 + x = 10 + 5x Solving 46 + x = 10 + 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. 46 + x + -5x = 10 + 5x + -5x Combine like terms: x + -5x = -4x 46 + -4x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 46 + -4x = 10 + 0 46 + -4x = 10 Add '-46' to each side of the equation. 46 + -46 + -4x = 10 + -46 Combine like terms: 46 + -46 = 0 0 + -4x = 10 + -46 -4x = 10 + -46 Combine like terms: 10 + -46 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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