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Simplifying 2x + 46 = 4x + 10 Reorder the terms: 46 + 2x = 4x + 10 Reorder the terms: 46 + 2x = 10 + 4x Solving 46 + 2x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 46 + 2x + -4x = 10 + 4x + -4x Combine like terms: 2x + -4x = -2x 46 + -2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 46 + -2x = 10 + 0 46 + -2x = 10 Add '-46' to each side of the equation. 46 + -46 + -2x = 10 + -46 Combine like terms: 46 + -46 = 0 0 + -2x = 10 + -46 -2x = 10 + -46 Combine like terms: 10 + -46 = -36 -2x = -36 Divide each side by '-2'. x = 18 Simplifying x = 18
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