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Simplifying 3x + 46 = 6x + 10 Reorder the terms: 46 + 3x = 6x + 10 Reorder the terms: 46 + 3x = 10 + 6x Solving 46 + 3x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 46 + 3x + -6x = 10 + 6x + -6x Combine like terms: 3x + -6x = -3x 46 + -3x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 46 + -3x = 10 + 0 46 + -3x = 10 Add '-46' to each side of the equation. 46 + -46 + -3x = 10 + -46 Combine like terms: 46 + -46 = 0 0 + -3x = 10 + -46 -3x = 10 + -46 Combine like terms: 10 + -46 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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