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Simplifying 3(x + -3) + 2(3x + 1) = 11 Reorder the terms: 3(-3 + x) + 2(3x + 1) = 11 (-3 * 3 + x * 3) + 2(3x + 1) = 11 (-9 + 3x) + 2(3x + 1) = 11 Reorder the terms: -9 + 3x + 2(1 + 3x) = 11 -9 + 3x + (1 * 2 + 3x * 2) = 11 -9 + 3x + (2 + 6x) = 11 Reorder the terms: -9 + 2 + 3x + 6x = 11 Combine like terms: -9 + 2 = -7 -7 + 3x + 6x = 11 Combine like terms: 3x + 6x = 9x -7 + 9x = 11 Solving -7 + 9x = 11 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 + 9x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 11 + 7 9x = 11 + 7 Combine like terms: 11 + 7 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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