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Simplifying 46 + -5x = 14 + 3x Solving 46 + -5x = 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 + -5x + -3x = 14 + 3x + -3x Combine like terms: -5x + -3x = -8x 46 + -8x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 46 + -8x = 14 + 0 46 + -8x = 14 Add '-46' to each side of the equation. 46 + -46 + -8x = 14 + -46 Combine like terms: 46 + -46 = 0 0 + -8x = 14 + -46 -8x = 14 + -46 Combine like terms: 14 + -46 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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