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Simplifying 2(3x + -1) + 3(2x + -3) = 13 Reorder the terms: 2(-1 + 3x) + 3(2x + -3) = 13 (-1 * 2 + 3x * 2) + 3(2x + -3) = 13 (-2 + 6x) + 3(2x + -3) = 13 Reorder the terms: -2 + 6x + 3(-3 + 2x) = 13 -2 + 6x + (-3 * 3 + 2x * 3) = 13 -2 + 6x + (-9 + 6x) = 13 Reorder the terms: -2 + -9 + 6x + 6x = 13 Combine like terms: -2 + -9 = -11 -11 + 6x + 6x = 13 Combine like terms: 6x + 6x = 12x -11 + 12x = 13 Solving -11 + 12x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 12x = 13 + 11 Combine like terms: -11 + 11 = 0 0 + 12x = 13 + 11 12x = 13 + 11 Combine like terms: 13 + 11 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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