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Simplifying 2(-9 + x) = 3(8 + -3x) (-9 * 2 + x * 2) = 3(8 + -3x) (-18 + 2x) = 3(8 + -3x) -18 + 2x = (8 * 3 + -3x * 3) -18 + 2x = (24 + -9x) Solving -18 + 2x = 24 + -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 + 2x + 9x = 24 + -9x + 9x Combine like terms: 2x + 9x = 11x -18 + 11x = 24 + -9x + 9x Combine like terms: -9x + 9x = 0 -18 + 11x = 24 + 0 -18 + 11x = 24 Add '18' to each side of the equation. -18 + 18 + 11x = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 11x = 24 + 18 11x = 24 + 18 Combine like terms: 24 + 18 = 42 11x = 42 Divide each side by '11'. x = 3.818181818 Simplifying x = 3.818181818
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