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Simplifying 9(x + -9) = 13(x + -13) Reorder the terms: 9(-9 + x) = 13(x + -13) (-9 * 9 + x * 9) = 13(x + -13) (-81 + 9x) = 13(x + -13) Reorder the terms: -81 + 9x = 13(-13 + x) -81 + 9x = (-13 * 13 + x * 13) -81 + 9x = (-169 + 13x) Solving -81 + 9x = -169 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -81 + 9x + -13x = -169 + 13x + -13x Combine like terms: 9x + -13x = -4x -81 + -4x = -169 + 13x + -13x Combine like terms: 13x + -13x = 0 -81 + -4x = -169 + 0 -81 + -4x = -169 Add '81' to each side of the equation. -81 + 81 + -4x = -169 + 81 Combine like terms: -81 + 81 = 0 0 + -4x = -169 + 81 -4x = -169 + 81 Combine like terms: -169 + 81 = -88 -4x = -88 Divide each side by '-4'. x = 22 Simplifying x = 22
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