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Simplifying 3x + 11 + 5x = 17 + -2x + 54 Reorder the terms: 11 + 3x + 5x = 17 + -2x + 54 Combine like terms: 3x + 5x = 8x 11 + 8x = 17 + -2x + 54 Reorder the terms: 11 + 8x = 17 + 54 + -2x Combine like terms: 17 + 54 = 71 11 + 8x = 71 + -2x Solving 11 + 8x = 71 + -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 + 8x + 2x = 71 + -2x + 2x Combine like terms: 8x + 2x = 10x 11 + 10x = 71 + -2x + 2x Combine like terms: -2x + 2x = 0 11 + 10x = 71 + 0 11 + 10x = 71 Add '-11' to each side of the equation. 11 + -11 + 10x = 71 + -11 Combine like terms: 11 + -11 = 0 0 + 10x = 71 + -11 10x = 71 + -11 Combine like terms: 71 + -11 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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