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Simplifying 9(3 + -2x) = 6(3x + -5) (3 * 9 + -2x * 9) = 6(3x + -5) (27 + -18x) = 6(3x + -5) Reorder the terms: 27 + -18x = 6(-5 + 3x) 27 + -18x = (-5 * 6 + 3x * 6) 27 + -18x = (-30 + 18x) Solving 27 + -18x = -30 + 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. 27 + -18x + -18x = -30 + 18x + -18x Combine like terms: -18x + -18x = -36x 27 + -36x = -30 + 18x + -18x Combine like terms: 18x + -18x = 0 27 + -36x = -30 + 0 27 + -36x = -30 Add '-27' to each side of the equation. 27 + -27 + -36x = -30 + -27 Combine like terms: 27 + -27 = 0 0 + -36x = -30 + -27 -36x = -30 + -27 Combine like terms: -30 + -27 = -57 -36x = -57 Divide each side by '-36'. x = 1.583333333 Simplifying x = 1.583333333
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