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Simplifying 4x + 11 = -6x + 91 Reorder the terms: 11 + 4x = -6x + 91 Reorder the terms: 11 + 4x = 91 + -6x Solving 11 + 4x = 91 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 11 + 4x + 6x = 91 + -6x + 6x Combine like terms: 4x + 6x = 10x 11 + 10x = 91 + -6x + 6x Combine like terms: -6x + 6x = 0 11 + 10x = 91 + 0 11 + 10x = 91 Add '-11' to each side of the equation. 11 + -11 + 10x = 91 + -11 Combine like terms: 11 + -11 = 0 0 + 10x = 91 + -11 10x = 91 + -11 Combine like terms: 91 + -11 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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