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Simplifying 6x + 5 = 8x + 1 Reorder the terms: 5 + 6x = 8x + 1 Reorder the terms: 5 + 6x = 1 + 8x Solving 5 + 6x = 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. 5 + 6x + -8x = 1 + 8x + -8x Combine like terms: 6x + -8x = -2x 5 + -2x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -2x = 1 + 0 5 + -2x = 1 Add '-5' to each side of the equation. 5 + -5 + -2x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 1 + -5 -2x = 1 + -5 Combine like terms: 1 + -5 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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