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Simplifying 3(2x + -1) + -2(2x + -3) = 0 Reorder the terms: 3(-1 + 2x) + -2(2x + -3) = 0 (-1 * 3 + 2x * 3) + -2(2x + -3) = 0 (-3 + 6x) + -2(2x + -3) = 0 Reorder the terms: -3 + 6x + -2(-3 + 2x) = 0 -3 + 6x + (-3 * -2 + 2x * -2) = 0 -3 + 6x + (6 + -4x) = 0 Reorder the terms: -3 + 6 + 6x + -4x = 0 Combine like terms: -3 + 6 = 3 3 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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