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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 Reorder the terms for easier multiplication: -27 + 9x = 7 * 6(-3 + x) Multiply 7 * 6 -27 + 9x = 42(-3 + x) -27 + 9x = (-3 * 42 + x * 42) -27 + 9x = (-126 + 42x) Solving -27 + 9x = -126 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -27 + 9x + -42x = -126 + 42x + -42x Combine like terms: 9x + -42x = -33x -27 + -33x = -126 + 42x + -42x Combine like terms: 42x + -42x = 0 -27 + -33x = -126 + 0 -27 + -33x = -126 Add '27' to each side of the equation. -27 + 27 + -33x = -126 + 27 Combine like terms: -27 + 27 = 0 0 + -33x = -126 + 27 -33x = -126 + 27 Combine like terms: -126 + 27 = -99 -33x = -99 Divide each side by '-33'. x = 3 Simplifying x = 3
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