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