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Simplifying X + -3(3x + 6) = 9(3x + 11) Reorder the terms: X + -3(6 + 3x) = 9(3x + 11) X + (6 * -3 + 3x * -3) = 9(3x + 11) X + (-18 + -9x) = 9(3x + 11) Reorder the terms: -18 + X + -9x = 9(3x + 11) Reorder the terms: -18 + X + -9x = 9(11 + 3x) -18 + X + -9x = (11 * 9 + 3x * 9) -18 + X + -9x = (99 + 27x) Solving -18 + X + -9x = 99 + 27x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '18' to each side of the equation. -18 + X + 18 + -9x = 99 + 18 + 27x Reorder the terms: -18 + 18 + X + -9x = 99 + 18 + 27x Combine like terms: -18 + 18 = 0 0 + X + -9x = 99 + 18 + 27x X + -9x = 99 + 18 + 27x Combine like terms: 99 + 18 = 117 X + -9x = 117 + 27x Add '9x' to each side of the equation. X + -9x + 9x = 117 + 27x + 9x Combine like terms: -9x + 9x = 0 X + 0 = 117 + 27x + 9x X = 117 + 27x + 9x Combine like terms: 27x + 9x = 36x X = 117 + 36x Simplifying X = 117 + 36x
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