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Simplifying 46 + -3x = 12x + 16 Reorder the terms: 46 + -3x = 16 + 12x Solving 46 + -3x = 16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 46 + -3x + -12x = 16 + 12x + -12x Combine like terms: -3x + -12x = -15x 46 + -15x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 46 + -15x = 16 + 0 46 + -15x = 16 Add '-46' to each side of the equation. 46 + -46 + -15x = 16 + -46 Combine like terms: 46 + -46 = 0 0 + -15x = 16 + -46 -15x = 16 + -46 Combine like terms: 16 + -46 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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