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Simplifying 9(2x + -3) = -36 + -27(x + 2) Reorder the terms: 9(-3 + 2x) = -36 + -27(x + 2) (-3 * 9 + 2x * 9) = -36 + -27(x + 2) (-27 + 18x) = -36 + -27(x + 2) Reorder the terms: -27 + 18x = -36 + -27(2 + x) -27 + 18x = -36 + (2 * -27 + x * -27) -27 + 18x = -36 + (-54 + -27x) Combine like terms: -36 + -54 = -90 -27 + 18x = -90 + -27x Solving -27 + 18x = -90 + -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 = -90 + -27x + 27x Combine like terms: 18x + 27x = 45x -27 + 45x = -90 + -27x + 27x Combine like terms: -27x + 27x = 0 -27 + 45x = -90 + 0 -27 + 45x = -90 Add '27' to each side of the equation. -27 + 27 + 45x = -90 + 27 Combine like terms: -27 + 27 = 0 0 + 45x = -90 + 27 45x = -90 + 27 Combine like terms: -90 + 27 = -63 45x = -63 Divide each side by '45'. x = -1.4 Simplifying x = -1.4
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