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Simplifying 46 + 2x = 30 + 10x Solving 46 + 2x = 30 + 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 = 30 + 10x + -10x Combine like terms: 2x + -10x = -8x 46 + -8x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 46 + -8x = 30 + 0 46 + -8x = 30 Add '-46' to each side of the equation. 46 + -46 + -8x = 30 + -46 Combine like terms: 46 + -46 = 0 0 + -8x = 30 + -46 -8x = 30 + -46 Combine like terms: 30 + -46 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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