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Simplifying 46 + -2x = 11 + -9x Solving 46 + -2x = 11 + -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 + -2x + 9x = 11 + -9x + 9x Combine like terms: -2x + 9x = 7x 46 + 7x = 11 + -9x + 9x Combine like terms: -9x + 9x = 0 46 + 7x = 11 + 0 46 + 7x = 11 Add '-46' to each side of the equation. 46 + -46 + 7x = 11 + -46 Combine like terms: 46 + -46 = 0 0 + 7x = 11 + -46 7x = 11 + -46 Combine like terms: 11 + -46 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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