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Simplifying 9(2x + 3) = 27(x + -2) Reorder the terms: 9(3 + 2x) = 27(x + -2) (3 * 9 + 2x * 9) = 27(x + -2) (27 + 18x) = 27(x + -2) Reorder the terms: 27 + 18x = 27(-2 + x) 27 + 18x = (-2 * 27 + x * 27) 27 + 18x = (-54 + 27x) Solving 27 + 18x = -54 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 27 + 18x + -27x = -54 + 27x + -27x Combine like terms: 18x + -27x = -9x 27 + -9x = -54 + 27x + -27x Combine like terms: 27x + -27x = 0 27 + -9x = -54 + 0 27 + -9x = -54 Add '-27' to each side of the equation. 27 + -27 + -9x = -54 + -27 Combine like terms: 27 + -27 = 0 0 + -9x = -54 + -27 -9x = -54 + -27 Combine like terms: -54 + -27 = -81 -9x = -81 Divide each side by '-9'. x = 9 Simplifying x = 9
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