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Simplifying 2x + 1 = 8x + -2 Reorder the terms: 1 + 2x = 8x + -2 Reorder the terms: 1 + 2x = -2 + 8x Solving 1 + 2x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + 2x + -8x = -2 + 8x + -8x Combine like terms: 2x + -8x = -6x 1 + -6x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -6x = -2 + 0 1 + -6x = -2 Add '-1' to each side of the equation. 1 + -1 + -6x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = -2 + -1 -6x = -2 + -1 Combine like terms: -2 + -1 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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