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Simplifying 6x + -5 + -1x = -5 + 7x Reorder the terms: -5 + 6x + -1x = -5 + 7x Combine like terms: 6x + -1x = 5x -5 + 5x = -5 + 7x Add '5' to each side of the equation. -5 + 5 + 5x = -5 + 5 + 7x Combine like terms: -5 + 5 = 0 0 + 5x = -5 + 5 + 7x 5x = -5 + 5 + 7x Combine like terms: -5 + 5 = 0 5x = 0 + 7x 5x = 7x Solving 5x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5x + -7x = 7x + -7x Combine like terms: 5x + -7x = -2x -2x = 7x + -7x Combine like terms: 7x + -7x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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