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Simplifying 5x + 1 = 6x + 8 Reorder the terms: 1 + 5x = 6x + 8 Reorder the terms: 1 + 5x = 8 + 6x Solving 1 + 5x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 5x + -6x = 8 + 6x + -6x Combine like terms: 5x + -6x = -1x 1 + -1x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -1x = 8 + 0 1 + -1x = 8 Add '-1' to each side of the equation. 1 + -1 + -1x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 8 + -1 -1x = 8 + -1 Combine like terms: 8 + -1 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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