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Simplifying 8x + 5x + -34 = 51 + -4x Reorder the terms: -34 + 8x + 5x = 51 + -4x Combine like terms: 8x + 5x = 13x -34 + 13x = 51 + -4x Solving -34 + 13x = 51 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -34 + 13x + 4x = 51 + -4x + 4x Combine like terms: 13x + 4x = 17x -34 + 17x = 51 + -4x + 4x Combine like terms: -4x + 4x = 0 -34 + 17x = 51 + 0 -34 + 17x = 51 Add '34' to each side of the equation. -34 + 34 + 17x = 51 + 34 Combine like terms: -34 + 34 = 0 0 + 17x = 51 + 34 17x = 51 + 34 Combine like terms: 51 + 34 = 85 17x = 85 Divide each side by '17'. x = 5 Simplifying x = 5
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