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Simplifying 2 + 5(x + -9) = 2 + -9(x + -7) Reorder the terms: 2 + 5(-9 + x) = 2 + -9(x + -7) 2 + (-9 * 5 + x * 5) = 2 + -9(x + -7) 2 + (-45 + 5x) = 2 + -9(x + -7) Combine like terms: 2 + -45 = -43 -43 + 5x = 2 + -9(x + -7) Reorder the terms: -43 + 5x = 2 + -9(-7 + x) -43 + 5x = 2 + (-7 * -9 + x * -9) -43 + 5x = 2 + (63 + -9x) Combine like terms: 2 + 63 = 65 -43 + 5x = 65 + -9x Solving -43 + 5x = 65 + -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. -43 + 5x + 9x = 65 + -9x + 9x Combine like terms: 5x + 9x = 14x -43 + 14x = 65 + -9x + 9x Combine like terms: -9x + 9x = 0 -43 + 14x = 65 + 0 -43 + 14x = 65 Add '43' to each side of the equation. -43 + 43 + 14x = 65 + 43 Combine like terms: -43 + 43 = 0 0 + 14x = 65 + 43 14x = 65 + 43 Combine like terms: 65 + 43 = 108 14x = 108 Divide each side by '14'. x = 7.714285714 Simplifying x = 7.714285714
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