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Simplifying 4x + 51 + 6x = 17 + 8x Reorder the terms: 51 + 4x + 6x = 17 + 8x Combine like terms: 4x + 6x = 10x 51 + 10x = 17 + 8x Solving 51 + 10x = 17 + 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. 51 + 10x + -8x = 17 + 8x + -8x Combine like terms: 10x + -8x = 2x 51 + 2x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 51 + 2x = 17 + 0 51 + 2x = 17 Add '-51' to each side of the equation. 51 + -51 + 2x = 17 + -51 Combine like terms: 51 + -51 = 0 0 + 2x = 17 + -51 2x = 17 + -51 Combine like terms: 17 + -51 = -34 2x = -34 Divide each side by '2'. x = -17 Simplifying x = -17
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