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Simplifying 2x + 1 + (-1x) + (-2) = -1x + 3 + (-7) + x + 8 2x + 1 + (-1x) + -2 = -1x + 3 + (-7) + x + 8 Reorder the terms: 1 + -2 + 2x + (-1x) = -1x + 3 + (-7) + x + 8 Combine like terms: 1 + -2 = -1 -1 + 2x + (-1x) = -1x + 3 + (-7) + x + 8 Combine like terms: 2x + (-1x) = 1x -1 + 1x = -1x + 3 + (-7) + x + 8 -1 + 1x = -1x + 3 + -7 + x + 8 Reorder the terms: -1 + 1x = 3 + -7 + 8 + -1x + x Combine like terms: 3 + -7 = -4 -1 + 1x = -4 + 8 + -1x + x Combine like terms: -4 + 8 = 4 -1 + 1x = 4 + -1x + x Combine like terms: -1x + x = 0 -1 + 1x = 4 + 0 -1 + 1x = 4 Solving -1 + 1x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 4 + 1 1x = 4 + 1 Combine like terms: 4 + 1 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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