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Simplifying -3(x + 9) = 7x + -9(x + 4) Reorder the terms: -3(9 + x) = 7x + -9(x + 4) (9 * -3 + x * -3) = 7x + -9(x + 4) (-27 + -3x) = 7x + -9(x + 4) Reorder the terms: -27 + -3x = 7x + -9(4 + x) -27 + -3x = 7x + (4 * -9 + x * -9) -27 + -3x = 7x + (-36 + -9x) Reorder the terms: -27 + -3x = -36 + 7x + -9x Combine like terms: 7x + -9x = -2x -27 + -3x = -36 + -2x Solving -27 + -3x = -36 + -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. -27 + -3x + 2x = -36 + -2x + 2x Combine like terms: -3x + 2x = -1x -27 + -1x = -36 + -2x + 2x Combine like terms: -2x + 2x = 0 -27 + -1x = -36 + 0 -27 + -1x = -36 Add '27' to each side of the equation. -27 + 27 + -1x = -36 + 27 Combine like terms: -27 + 27 = 0 0 + -1x = -36 + 27 -1x = -36 + 27 Combine like terms: -36 + 27 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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