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Simplifying 3x + 46 = 7x + 10 Reorder the terms: 46 + 3x = 7x + 10 Reorder the terms: 46 + 3x = 10 + 7x Solving 46 + 3x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 46 + 3x + -7x = 10 + 7x + -7x Combine like terms: 3x + -7x = -4x 46 + -4x = 10 + 7x + -7x Combine like terms: 7x + -7x = 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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