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Simplifying 9(2x + 3) = 3(x + -6) Reorder the terms: 9(3 + 2x) = 3(x + -6) (3 * 9 + 2x * 9) = 3(x + -6) (27 + 18x) = 3(x + -6) Reorder the terms: 27 + 18x = 3(-6 + x) 27 + 18x = (-6 * 3 + x * 3) 27 + 18x = (-18 + 3x) Solving 27 + 18x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 27 + 18x + -3x = -18 + 3x + -3x Combine like terms: 18x + -3x = 15x 27 + 15x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + 15x = -18 + 0 27 + 15x = -18 Add '-27' to each side of the equation. 27 + -27 + 15x = -18 + -27 Combine like terms: 27 + -27 = 0 0 + 15x = -18 + -27 15x = -18 + -27 Combine like terms: -18 + -27 = -45 15x = -45 Divide each side by '15'. x = -3 Simplifying x = -3
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