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Simplifying 5(x + 7) + -13(X + -4) = -9(x + 4) Reorder the terms: 5(7 + x) + -13(X + -4) = -9(x + 4) (7 * 5 + x * 5) + -13(X + -4) = -9(x + 4) (35 + 5x) + -13(X + -4) = -9(x + 4) Reorder the terms: 35 + 5x + -13(-4 + X) = -9(x + 4) 35 + 5x + (-4 * -13 + X * -13) = -9(x + 4) 35 + 5x + (52 + -13X) = -9(x + 4) Reorder the terms: 35 + 52 + -13X + 5x = -9(x + 4) Combine like terms: 35 + 52 = 87 87 + -13X + 5x = -9(x + 4) Reorder the terms: 87 + -13X + 5x = -9(4 + x) 87 + -13X + 5x = (4 * -9 + x * -9) 87 + -13X + 5x = (-36 + -9x) Solving 87 + -13X + 5x = -36 + -9x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-87' to each side of the equation. 87 + -13X + -87 + 5x = -36 + -87 + -9x Reorder the terms: 87 + -87 + -13X + 5x = -36 + -87 + -9x Combine like terms: 87 + -87 = 0 0 + -13X + 5x = -36 + -87 + -9x -13X + 5x = -36 + -87 + -9x Combine like terms: -36 + -87 = -123 -13X + 5x = -123 + -9x Add '-5x' to each side of the equation. -13X + 5x + -5x = -123 + -9x + -5x Combine like terms: 5x + -5x = 0 -13X + 0 = -123 + -9x + -5x -13X = -123 + -9x + -5x Combine like terms: -9x + -5x = -14x -13X = -123 + -14x Divide each side by '-13'. X = 9.461538462 + 1.076923077x Simplifying X = 9.461538462 + 1.076923077x
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