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Simplifying 2(3x + -1) + -1(2x + -3) = 0 Reorder the terms: 2(-1 + 3x) + -1(2x + -3) = 0 (-1 * 2 + 3x * 2) + -1(2x + -3) = 0 (-2 + 6x) + -1(2x + -3) = 0 Reorder the terms: -2 + 6x + -1(-3 + 2x) = 0 -2 + 6x + (-3 * -1 + 2x * -1) = 0 -2 + 6x + (3 + -2x) = 0 Reorder the terms: -2 + 3 + 6x + -2x = 0 Combine like terms: -2 + 3 = 1 1 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x 1 + 4x = 0 Solving 1 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25
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