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Simplifying -6(3x + 6) = -9(x + 9) Reorder the terms: -6(6 + 3x) = -9(x + 9) (6 * -6 + 3x * -6) = -9(x + 9) (-36 + -18x) = -9(x + 9) Reorder the terms: -36 + -18x = -9(9 + x) -36 + -18x = (9 * -9 + x * -9) -36 + -18x = (-81 + -9x) Solving -36 + -18x = -81 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -36 + -18x + 9x = -81 + -9x + 9x Combine like terms: -18x + 9x = -9x -36 + -9x = -81 + -9x + 9x Combine like terms: -9x + 9x = 0 -36 + -9x = -81 + 0 -36 + -9x = -81 Add '36' to each side of the equation. -36 + 36 + -9x = -81 + 36 Combine like terms: -36 + 36 = 0 0 + -9x = -81 + 36 -9x = -81 + 36 Combine like terms: -81 + 36 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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