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