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Simplifying -6 = 3(3x + 1) + 9 Reorder the terms: -6 = 3(1 + 3x) + 9 -6 = (1 * 3 + 3x * 3) + 9 -6 = (3 + 9x) + 9 Reorder the terms: -6 = 3 + 9 + 9x Combine like terms: 3 + 9 = 12 -6 = 12 + 9x Solving -6 = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + -9x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -9x = 12 + 0 -6 + -9x = 12 Add '6' to each side of the equation. -6 + 6 + -9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 12 + 6 -9x = 12 + 6 Combine like terms: 12 + 6 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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