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Simplifying -32 = 9(3x + 2) + 4 Reorder the terms: -32 = 9(2 + 3x) + 4 -32 = (2 * 9 + 3x * 9) + 4 -32 = (18 + 27x) + 4 Reorder the terms: -32 = 18 + 4 + 27x Combine like terms: 18 + 4 = 22 -32 = 22 + 27x Solving -32 = 22 + 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. -32 + -27x = 22 + 27x + -27x Combine like terms: 27x + -27x = 0 -32 + -27x = 22 + 0 -32 + -27x = 22 Add '32' to each side of the equation. -32 + 32 + -27x = 22 + 32 Combine like terms: -32 + 32 = 0 0 + -27x = 22 + 32 -27x = 22 + 32 Combine like terms: 22 + 32 = 54 -27x = 54 Divide each side by '-27'. x = -2 Simplifying x = -2
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