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Simplifying 5x + 46 = x + 10 Reorder the terms: 46 + 5x = x + 10 Reorder the terms: 46 + 5x = 10 + x Solving 46 + 5x = 10 + 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. 46 + 5x + -1x = 10 + x + -1x Combine like terms: 5x + -1x = 4x 46 + 4x = 10 + x + -1x Combine like terms: x + -1x = 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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