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Simplifying 6(4x + -2) + 3(2x + 3) = 0 Reorder the terms: 6(-2 + 4x) + 3(2x + 3) = 0 (-2 * 6 + 4x * 6) + 3(2x + 3) = 0 (-12 + 24x) + 3(2x + 3) = 0 Reorder the terms: -12 + 24x + 3(3 + 2x) = 0 -12 + 24x + (3 * 3 + 2x * 3) = 0 -12 + 24x + (9 + 6x) = 0 Reorder the terms: -12 + 9 + 24x + 6x = 0 Combine like terms: -12 + 9 = -3 -3 + 24x + 6x = 0 Combine like terms: 24x + 6x = 30x -3 + 30x = 0 Solving -3 + 30x = 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 + 30x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 30x = 0 + 3 30x = 0 + 3 Combine like terms: 0 + 3 = 3 30x = 3 Divide each side by '30'. x = 0.1 Simplifying x = 0.1
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