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Simplifying 9(3x + -11) = 6(3x + -10) Reorder the terms: 9(-11 + 3x) = 6(3x + -10) (-11 * 9 + 3x * 9) = 6(3x + -10) (-99 + 27x) = 6(3x + -10) Reorder the terms: -99 + 27x = 6(-10 + 3x) -99 + 27x = (-10 * 6 + 3x * 6) -99 + 27x = (-60 + 18x) Solving -99 + 27x = -60 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -99 + 27x + -18x = -60 + 18x + -18x Combine like terms: 27x + -18x = 9x -99 + 9x = -60 + 18x + -18x Combine like terms: 18x + -18x = 0 -99 + 9x = -60 + 0 -99 + 9x = -60 Add '99' to each side of the equation. -99 + 99 + 9x = -60 + 99 Combine like terms: -99 + 99 = 0 0 + 9x = -60 + 99 9x = -60 + 99 Combine like terms: -60 + 99 = 39 9x = 39 Divide each side by '9'. x = 4.333333333 Simplifying x = 4.333333333
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