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Simplifying -3(3 + x) + 2(3x + 1) = 2 (3 * -3 + x * -3) + 2(3x + 1) = 2 (-9 + -3x) + 2(3x + 1) = 2 Reorder the terms: -9 + -3x + 2(1 + 3x) = 2 -9 + -3x + (1 * 2 + 3x * 2) = 2 -9 + -3x + (2 + 6x) = 2 Reorder the terms: -9 + 2 + -3x + 6x = 2 Combine like terms: -9 + 2 = -7 -7 + -3x + 6x = 2 Combine like terms: -3x + 6x = 3x -7 + 3x = 2 Solving -7 + 3x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 2 + 7 3x = 2 + 7 Combine like terms: 2 + 7 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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