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Simplifying 2x + 11 = -8x + 51 Reorder the terms: 11 + 2x = -8x + 51 Reorder the terms: 11 + 2x = 51 + -8x Solving 11 + 2x = 51 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 11 + 2x + 8x = 51 + -8x + 8x Combine like terms: 2x + 8x = 10x 11 + 10x = 51 + -8x + 8x Combine like terms: -8x + 8x = 0 11 + 10x = 51 + 0 11 + 10x = 51 Add '-11' to each side of the equation. 11 + -11 + 10x = 51 + -11 Combine like terms: 11 + -11 = 0 0 + 10x = 51 + -11 10x = 51 + -11 Combine like terms: 51 + -11 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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