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Simplifying 9 + 7(x + -5) = 9 + -9(x + -7) Reorder the terms: 9 + 7(-5 + x) = 9 + -9(x + -7) 9 + (-5 * 7 + x * 7) = 9 + -9(x + -7) 9 + (-35 + 7x) = 9 + -9(x + -7) Combine like terms: 9 + -35 = -26 -26 + 7x = 9 + -9(x + -7) Reorder the terms: -26 + 7x = 9 + -9(-7 + x) -26 + 7x = 9 + (-7 * -9 + x * -9) -26 + 7x = 9 + (63 + -9x) Combine like terms: 9 + 63 = 72 -26 + 7x = 72 + -9x Solving -26 + 7x = 72 + -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. -26 + 7x + 9x = 72 + -9x + 9x Combine like terms: 7x + 9x = 16x -26 + 16x = 72 + -9x + 9x Combine like terms: -9x + 9x = 0 -26 + 16x = 72 + 0 -26 + 16x = 72 Add '26' to each side of the equation. -26 + 26 + 16x = 72 + 26 Combine like terms: -26 + 26 = 0 0 + 16x = 72 + 26 16x = 72 + 26 Combine like terms: 72 + 26 = 98 16x = 98 Divide each side by '16'. x = 6.125 Simplifying x = 6.125
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