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Simplifying x + -2x + -1 = 8 + -3x + 3 Reorder the terms: -1 + x + -2x = 8 + -3x + 3 Combine like terms: x + -2x = -1x -1 + -1x = 8 + -3x + 3 Reorder the terms: -1 + -1x = 8 + 3 + -3x Combine like terms: 8 + 3 = 11 -1 + -1x = 11 + -3x Solving -1 + -1x = 11 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -1 + -1x + 3x = 11 + -3x + 3x Combine like terms: -1x + 3x = 2x -1 + 2x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 2x = 11 + 0 -1 + 2x = 11 Add '1' to each side of the equation. -1 + 1 + 2x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 11 + 1 2x = 11 + 1 Combine like terms: 11 + 1 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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