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Simplifying 2(3x + 1) + -3(2 + -1x) = 41 Reorder the terms: 2(1 + 3x) + -3(2 + -1x) = 41 (1 * 2 + 3x * 2) + -3(2 + -1x) = 41 (2 + 6x) + -3(2 + -1x) = 41 2 + 6x + (2 * -3 + -1x * -3) = 41 2 + 6x + (-6 + 3x) = 41 Reorder the terms: 2 + -6 + 6x + 3x = 41 Combine like terms: 2 + -6 = -4 -4 + 6x + 3x = 41 Combine like terms: 6x + 3x = 9x -4 + 9x = 41 Solving -4 + 9x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9x = 41 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 41 + 4 9x = 41 + 4 Combine like terms: 41 + 4 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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