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Simplifying 3(2x + 1) + -2(3 + -1x) = 13 Reorder the terms: 3(1 + 2x) + -2(3 + -1x) = 13 (1 * 3 + 2x * 3) + -2(3 + -1x) = 13 (3 + 6x) + -2(3 + -1x) = 13 3 + 6x + (3 * -2 + -1x * -2) = 13 3 + 6x + (-6 + 2x) = 13 Reorder the terms: 3 + -6 + 6x + 2x = 13 Combine like terms: 3 + -6 = -3 -3 + 6x + 2x = 13 Combine like terms: 6x + 2x = 8x -3 + 8x = 13 Solving -3 + 8x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 13 + 3 8x = 13 + 3 Combine like terms: 13 + 3 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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