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Simplifying 9(3x + -7) + -9(2x + 9) = 6 Reorder the terms: 9(-7 + 3x) + -9(2x + 9) = 6 (-7 * 9 + 3x * 9) + -9(2x + 9) = 6 (-63 + 27x) + -9(2x + 9) = 6 Reorder the terms: -63 + 27x + -9(9 + 2x) = 6 -63 + 27x + (9 * -9 + 2x * -9) = 6 -63 + 27x + (-81 + -18x) = 6 Reorder the terms: -63 + -81 + 27x + -18x = 6 Combine like terms: -63 + -81 = -144 -144 + 27x + -18x = 6 Combine like terms: 27x + -18x = 9x -144 + 9x = 6 Solving -144 + 9x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '144' to each side of the equation. -144 + 144 + 9x = 6 + 144 Combine like terms: -144 + 144 = 0 0 + 9x = 6 + 144 9x = 6 + 144 Combine like terms: 6 + 144 = 150 9x = 150 Divide each side by '9'. x = 16.66666667 Simplifying x = 16.66666667
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