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Simplifying 46 + -4x = 6 + -9x Solving 46 + -4x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 46 + -4x + 9x = 6 + -9x + 9x Combine like terms: -4x + 9x = 5x 46 + 5x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 46 + 5x = 6 + 0 46 + 5x = 6 Add '-46' to each side of the equation. 46 + -46 + 5x = 6 + -46 Combine like terms: 46 + -46 = 0 0 + 5x = 6 + -46 5x = 6 + -46 Combine like terms: 6 + -46 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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