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Simplifying 46 + -2x = 11 + -7x Solving 46 + -2x = 11 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 46 + -2x + 7x = 11 + -7x + 7x Combine like terms: -2x + 7x = 5x 46 + 5x = 11 + -7x + 7x Combine like terms: -7x + 7x = 0 46 + 5x = 11 + 0 46 + 5x = 11 Add '-46' to each side of the equation. 46 + -46 + 5x = 11 + -46 Combine like terms: 46 + -46 = 0 0 + 5x = 11 + -46 5x = 11 + -46 Combine like terms: 11 + -46 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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