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Simplifying 9x + 2 = 2 + -1(5x + -7) Reorder the terms: 2 + 9x = 2 + -1(5x + -7) Reorder the terms: 2 + 9x = 2 + -1(-7 + 5x) 2 + 9x = 2 + (-7 * -1 + 5x * -1) 2 + 9x = 2 + (7 + -5x) Combine like terms: 2 + 7 = 9 2 + 9x = 9 + -5x Solving 2 + 9x = 9 + -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. 2 + 9x + 5x = 9 + -5x + 5x Combine like terms: 9x + 5x = 14x 2 + 14x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 14x = 9 + 0 2 + 14x = 9 Add '-2' to each side of the equation. 2 + -2 + 14x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 9 + -2 14x = 9 + -2 Combine like terms: 9 + -2 = 7 14x = 7 Divide each side by '14'. x = 0.5 Simplifying x = 0.5
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