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Simplifying 7x + 5 = 6x + 1 Reorder the terms: 5 + 7x = 6x + 1 Reorder the terms: 5 + 7x = 1 + 6x Solving 5 + 7x = 1 + 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. 5 + 7x + -6x = 1 + 6x + -6x Combine like terms: 7x + -6x = 1x 5 + 1x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 1x = 1 + 0 5 + 1x = 1 Add '-5' to each side of the equation. 5 + -5 + 1x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 1 + -5 1x = 1 + -5 Combine like terms: 1 + -5 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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