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