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Simplifying -9(3 + -1x) = 7(x + -3) (3 * -9 + -1x * -9) = 7(x + -3) (-27 + 9x) = 7(x + -3) Reorder the terms: -27 + 9x = 7(-3 + x) -27 + 9x = (-3 * 7 + x * 7) -27 + 9x = (-21 + 7x) Solving -27 + 9x = -21 + 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. -27 + 9x + -7x = -21 + 7x + -7x Combine like terms: 9x + -7x = 2x -27 + 2x = -21 + 7x + -7x Combine like terms: 7x + -7x = 0 -27 + 2x = -21 + 0 -27 + 2x = -21 Add '27' to each side of the equation. -27 + 27 + 2x = -21 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = -21 + 27 2x = -21 + 27 Combine like terms: -21 + 27 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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