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Simplifying 2(9 + -3x) = (2x + -11) (9 * 2 + -3x * 2) = (2x + -11) (18 + -6x) = (2x + -11) Reorder the terms: 18 + -6x = (-11 + 2x) Remove parenthesis around (-11 + 2x) 18 + -6x = -11 + 2x Solving 18 + -6x = -11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 18 + -6x + -2x = -11 + 2x + -2x Combine like terms: -6x + -2x = -8x 18 + -8x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + -8x = -11 + 0 18 + -8x = -11 Add '-18' to each side of the equation. 18 + -18 + -8x = -11 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = -11 + -18 -8x = -11 + -18 Combine like terms: -11 + -18 = -29 -8x = -29 Divide each side by '-8'. x = 3.625 Simplifying x = 3.625
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