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Simplifying 2x + 1 + -7x + 1 = 2x + 1 + 7x Reorder the terms: 1 + 1 + 2x + -7x = 2x + 1 + 7x Combine like terms: 1 + 1 = 2 2 + 2x + -7x = 2x + 1 + 7x Combine like terms: 2x + -7x = -5x 2 + -5x = 2x + 1 + 7x Reorder the terms: 2 + -5x = 1 + 2x + 7x Combine like terms: 2x + 7x = 9x 2 + -5x = 1 + 9x Solving 2 + -5x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + -5x + -9x = 1 + 9x + -9x Combine like terms: -5x + -9x = -14x 2 + -14x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -14x = 1 + 0 2 + -14x = 1 Add '-2' to each side of the equation. 2 + -2 + -14x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -14x = 1 + -2 -14x = 1 + -2 Combine like terms: 1 + -2 = -1 -14x = -1 Divide each side by '-14'. x = 0.07142857143 Simplifying x = 0.07142857143
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