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Simplifying 46 + -7x = 3x + -14 Reorder the terms: 46 + -7x = -14 + 3x Solving 46 + -7x = -14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 46 + -7x + -3x = -14 + 3x + -3x Combine like terms: -7x + -3x = -10x 46 + -10x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 46 + -10x = -14 + 0 46 + -10x = -14 Add '-46' to each side of the equation. 46 + -46 + -10x = -14 + -46 Combine like terms: 46 + -46 = 0 0 + -10x = -14 + -46 -10x = -14 + -46 Combine like terms: -14 + -46 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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