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Simplifying 5x + x + -1 = 9 + -2x + -2 Reorder the terms: -1 + 5x + x = 9 + -2x + -2 Combine like terms: 5x + x = 6x -1 + 6x = 9 + -2x + -2 Reorder the terms: -1 + 6x = 9 + -2 + -2x Combine like terms: 9 + -2 = 7 -1 + 6x = 7 + -2x Solving -1 + 6x = 7 + -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. -1 + 6x + 2x = 7 + -2x + 2x Combine like terms: 6x + 2x = 8x -1 + 8x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 8x = 7 + 0 -1 + 8x = 7 Add '1' to each side of the equation. -1 + 1 + 8x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 7 + 1 8x = 7 + 1 Combine like terms: 7 + 1 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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