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Simplifying 2x + 3x + -2 + x + -8 = 5x + -1x + 7 Reorder the terms: -2 + -8 + 2x + 3x + x = 5x + -1x + 7 Combine like terms: -2 + -8 = -10 -10 + 2x + 3x + x = 5x + -1x + 7 Combine like terms: 2x + 3x = 5x -10 + 5x + x = 5x + -1x + 7 Combine like terms: 5x + x = 6x -10 + 6x = 5x + -1x + 7 Reorder the terms: -10 + 6x = 7 + 5x + -1x Combine like terms: 5x + -1x = 4x -10 + 6x = 7 + 4x Solving -10 + 6x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 6x + -4x = 7 + 4x + -4x Combine like terms: 6x + -4x = 2x -10 + 2x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 2x = 7 + 0 -10 + 2x = 7 Add '10' to each side of the equation. -10 + 10 + 2x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 7 + 10 2x = 7 + 10 Combine like terms: 7 + 10 = 17 2x = 17 Divide each side by '2'. x = 8.5 Simplifying x = 8.5
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