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