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Simplifying -2x + 6 = 8x + 1 Reorder the terms: 6 + -2x = 8x + 1 Reorder the terms: 6 + -2x = 1 + 8x Solving 6 + -2x = 1 + 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. 6 + -2x + -8x = 1 + 8x + -8x Combine like terms: -2x + -8x = -10x 6 + -10x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -10x = 1 + 0 6 + -10x = 1 Add '-6' to each side of the equation. 6 + -6 + -10x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = 1 + -6 -10x = 1 + -6 Combine like terms: 1 + -6 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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