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Simplifying 3(9x + 3) + -12 = 2x + 22 Reorder the terms: 3(3 + 9x) + -12 = 2x + 22 (3 * 3 + 9x * 3) + -12 = 2x + 22 (9 + 27x) + -12 = 2x + 22 Reorder the terms: 9 + -12 + 27x = 2x + 22 Combine like terms: 9 + -12 = -3 -3 + 27x = 2x + 22 Reorder the terms: -3 + 27x = 22 + 2x Solving -3 + 27x = 22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 27x + -2x = 22 + 2x + -2x Combine like terms: 27x + -2x = 25x -3 + 25x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 25x = 22 + 0 -3 + 25x = 22 Add '3' to each side of the equation. -3 + 3 + 25x = 22 + 3 Combine like terms: -3 + 3 = 0 0 + 25x = 22 + 3 25x = 22 + 3 Combine like terms: 22 + 3 = 25 25x = 25 Divide each side by '25'. x = 1 Simplifying x = 1
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