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Simplifying 6x + 11 = -46 + -2x Reorder the terms: 11 + 6x = -46 + -2x Solving 11 + 6x = -46 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 11 + 6x + 2x = -46 + -2x + 2x Combine like terms: 6x + 2x = 8x 11 + 8x = -46 + -2x + 2x Combine like terms: -2x + 2x = 0 11 + 8x = -46 + 0 11 + 8x = -46 Add '-11' to each side of the equation. 11 + -11 + 8x = -46 + -11 Combine like terms: 11 + -11 = 0 0 + 8x = -46 + -11 8x = -46 + -11 Combine like terms: -46 + -11 = -57 8x = -57 Divide each side by '8'. x = -7.125 Simplifying x = -7.125
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