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Simplifying -9x + 8 = -1(-5x + 7) Reorder the terms: 8 + -9x = -1(-5x + 7) Reorder the terms: 8 + -9x = -1(7 + -5x) 8 + -9x = (7 * -1 + -5x * -1) 8 + -9x = (-7 + 5x) Solving 8 + -9x = -7 + 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. 8 + -9x + -5x = -7 + 5x + -5x Combine like terms: -9x + -5x = -14x 8 + -14x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -14x = -7 + 0 8 + -14x = -7 Add '-8' to each side of the equation. 8 + -8 + -14x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = -7 + -8 -14x = -7 + -8 Combine like terms: -7 + -8 = -15 -14x = -15 Divide each side by '-14'. x = 1.071428571 Simplifying x = 1.071428571
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