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Simplifying 46 + 2x = 10x + 6 Reorder the terms: 46 + 2x = 6 + 10x Solving 46 + 2x = 6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 46 + 2x + -10x = 6 + 10x + -10x Combine like terms: 2x + -10x = -8x 46 + -8x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 46 + -8x = 6 + 0 46 + -8x = 6 Add '-46' to each side of the equation. 46 + -46 + -8x = 6 + -46 Combine like terms: 46 + -46 = 0 0 + -8x = 6 + -46 -8x = 6 + -46 Combine like terms: 6 + -46 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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