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Simplifying 5x + 2 = 7 + -1(9x + -7) Reorder the terms: 2 + 5x = 7 + -1(9x + -7) Reorder the terms: 2 + 5x = 7 + -1(-7 + 9x) 2 + 5x = 7 + (-7 * -1 + 9x * -1) 2 + 5x = 7 + (7 + -9x) Combine like terms: 7 + 7 = 14 2 + 5x = 14 + -9x Solving 2 + 5x = 14 + -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 = 14 + -9x + 9x Combine like terms: 5x + 9x = 14x 2 + 14x = 14 + -9x + 9x Combine like terms: -9x + 9x = 0 2 + 14x = 14 + 0 2 + 14x = 14 Add '-2' to each side of the equation. 2 + -2 + 14x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 14 + -2 14x = 14 + -2 Combine like terms: 14 + -2 = 12 14x = 12 Divide each side by '14'. x = 0.8571428571 Simplifying x = 0.8571428571
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