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Simplifying 9 + 5(x + -9) = 8 + -2(x + -7) Reorder the terms: 9 + 5(-9 + x) = 8 + -2(x + -7) 9 + (-9 * 5 + x * 5) = 8 + -2(x + -7) 9 + (-45 + 5x) = 8 + -2(x + -7) Combine like terms: 9 + -45 = -36 -36 + 5x = 8 + -2(x + -7) Reorder the terms: -36 + 5x = 8 + -2(-7 + x) -36 + 5x = 8 + (-7 * -2 + x * -2) -36 + 5x = 8 + (14 + -2x) Combine like terms: 8 + 14 = 22 -36 + 5x = 22 + -2x Solving -36 + 5x = 22 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -36 + 5x + 2x = 22 + -2x + 2x Combine like terms: 5x + 2x = 7x -36 + 7x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 -36 + 7x = 22 + 0 -36 + 7x = 22 Add '36' to each side of the equation. -36 + 36 + 7x = 22 + 36 Combine like terms: -36 + 36 = 0 0 + 7x = 22 + 36 7x = 22 + 36 Combine like terms: 22 + 36 = 58 7x = 58 Divide each side by '7'. x = 8.285714286 Simplifying x = 8.285714286
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