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Simplifying 9(x + -9) = 7(x + -67) Reorder the terms: 9(-9 + x) = 7(x + -67) (-9 * 9 + x * 9) = 7(x + -67) (-81 + 9x) = 7(x + -67) Reorder the terms: -81 + 9x = 7(-67 + x) -81 + 9x = (-67 * 7 + x * 7) -81 + 9x = (-469 + 7x) Solving -81 + 9x = -469 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -81 + 9x + -7x = -469 + 7x + -7x Combine like terms: 9x + -7x = 2x -81 + 2x = -469 + 7x + -7x Combine like terms: 7x + -7x = 0 -81 + 2x = -469 + 0 -81 + 2x = -469 Add '81' to each side of the equation. -81 + 81 + 2x = -469 + 81 Combine like terms: -81 + 81 = 0 0 + 2x = -469 + 81 2x = -469 + 81 Combine like terms: -469 + 81 = -388 2x = -388 Divide each side by '2'. x = -194 Simplifying x = -194
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