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Simplifying 3 + 2(x + -7) = 9 + -5(x + -9) Reorder the terms: 3 + 2(-7 + x) = 9 + -5(x + -9) 3 + (-7 * 2 + x * 2) = 9 + -5(x + -9) 3 + (-14 + 2x) = 9 + -5(x + -9) Combine like terms: 3 + -14 = -11 -11 + 2x = 9 + -5(x + -9) Reorder the terms: -11 + 2x = 9 + -5(-9 + x) -11 + 2x = 9 + (-9 * -5 + x * -5) -11 + 2x = 9 + (45 + -5x) Combine like terms: 9 + 45 = 54 -11 + 2x = 54 + -5x Solving -11 + 2x = 54 + -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. -11 + 2x + 5x = 54 + -5x + 5x Combine like terms: 2x + 5x = 7x -11 + 7x = 54 + -5x + 5x Combine like terms: -5x + 5x = 0 -11 + 7x = 54 + 0 -11 + 7x = 54 Add '11' to each side of the equation. -11 + 11 + 7x = 54 + 11 Combine like terms: -11 + 11 = 0 0 + 7x = 54 + 11 7x = 54 + 11 Combine like terms: 54 + 11 = 65 7x = 65 Divide each side by '7'. x = 9.285714286 Simplifying x = 9.285714286
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