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