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