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Simplifying 8x + -5 + -1x = 2x + -6 + 7x + 1 Reorder the terms: -5 + 8x + -1x = 2x + -6 + 7x + 1 Combine like terms: 8x + -1x = 7x -5 + 7x = 2x + -6 + 7x + 1 Reorder the terms: -5 + 7x = -6 + 1 + 2x + 7x Combine like terms: -6 + 1 = -5 -5 + 7x = -5 + 2x + 7x Combine like terms: 2x + 7x = 9x -5 + 7x = -5 + 9x Add '5' to each side of the equation. -5 + 5 + 7x = -5 + 5 + 9x Combine like terms: -5 + 5 = 0 0 + 7x = -5 + 5 + 9x 7x = -5 + 5 + 9x Combine like terms: -5 + 5 = 0 7x = 0 + 9x 7x = 9x Solving 7x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7x + -9x = 9x + -9x Combine like terms: 7x + -9x = -2x -2x = 9x + -9x Combine like terms: 9x + -9x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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