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Simplifying 6(3x + -3) = -9(x + 8) Reorder the terms: 6(-3 + 3x) = -9(x + 8) (-3 * 6 + 3x * 6) = -9(x + 8) (-18 + 18x) = -9(x + 8) Reorder the terms: -18 + 18x = -9(8 + x) -18 + 18x = (8 * -9 + x * -9) -18 + 18x = (-72 + -9x) Solving -18 + 18x = -72 + -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. -18 + 18x + 9x = -72 + -9x + 9x Combine like terms: 18x + 9x = 27x -18 + 27x = -72 + -9x + 9x Combine like terms: -9x + 9x = 0 -18 + 27x = -72 + 0 -18 + 27x = -72 Add '18' to each side of the equation. -18 + 18 + 27x = -72 + 18 Combine like terms: -18 + 18 = 0 0 + 27x = -72 + 18 27x = -72 + 18 Combine like terms: -72 + 18 = -54 27x = -54 Divide each side by '27'. x = -2 Simplifying x = -2
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