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Simplifying 6x + -5 + 2x = 17 + 15x + -77 Reorder the terms: -5 + 6x + 2x = 17 + 15x + -77 Combine like terms: 6x + 2x = 8x -5 + 8x = 17 + 15x + -77 Reorder the terms: -5 + 8x = 17 + -77 + 15x Combine like terms: 17 + -77 = -60 -5 + 8x = -60 + 15x Solving -5 + 8x = -60 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -5 + 8x + -15x = -60 + 15x + -15x Combine like terms: 8x + -15x = -7x -5 + -7x = -60 + 15x + -15x Combine like terms: 15x + -15x = 0 -5 + -7x = -60 + 0 -5 + -7x = -60 Add '5' to each side of the equation. -5 + 5 + -7x = -60 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = -60 + 5 -7x = -60 + 5 Combine like terms: -60 + 5 = -55 -7x = -55 Divide each side by '-7'. x = 7.857142857 Simplifying x = 7.857142857
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