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Simplifying 3(2x + 1) + 2(x + -3) = 0 Reorder the terms: 3(1 + 2x) + 2(x + -3) = 0 (1 * 3 + 2x * 3) + 2(x + -3) = 0 (3 + 6x) + 2(x + -3) = 0 Reorder the terms: 3 + 6x + 2(-3 + x) = 0 3 + 6x + (-3 * 2 + x * 2) = 0 3 + 6x + (-6 + 2x) = 0 Reorder the terms: 3 + -6 + 6x + 2x = 0 Combine like terms: 3 + -6 = -3 -3 + 6x + 2x = 0 Combine like terms: 6x + 2x = 8x -3 + 8x = 0 Solving -3 + 8x = 0 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 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 0 + 3 8x = 0 + 3 Combine like terms: 0 + 3 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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