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Simplifying 6(4x + -2) + -3(x + -3) = 0 Reorder the terms: 6(-2 + 4x) + -3(x + -3) = 0 (-2 * 6 + 4x * 6) + -3(x + -3) = 0 (-12 + 24x) + -3(x + -3) = 0 Reorder the terms: -12 + 24x + -3(-3 + x) = 0 -12 + 24x + (-3 * -3 + x * -3) = 0 -12 + 24x + (9 + -3x) = 0 Reorder the terms: -12 + 9 + 24x + -3x = 0 Combine like terms: -12 + 9 = -3 -3 + 24x + -3x = 0 Combine like terms: 24x + -3x = 21x -3 + 21x = 0 Solving -3 + 21x = 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 + 21x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 21x = 0 + 3 21x = 0 + 3 Combine like terms: 0 + 3 = 3 21x = 3 Divide each side by '21'. x = 0.1428571429 Simplifying x = 0.1428571429
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