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Simplifying 12(3x + -2) + -1(4x + -6) = 0 Reorder the terms: 12(-2 + 3x) + -1(4x + -6) = 0 (-2 * 12 + 3x * 12) + -1(4x + -6) = 0 (-24 + 36x) + -1(4x + -6) = 0 Reorder the terms: -24 + 36x + -1(-6 + 4x) = 0 -24 + 36x + (-6 * -1 + 4x * -1) = 0 -24 + 36x + (6 + -4x) = 0 Reorder the terms: -24 + 6 + 36x + -4x = 0 Combine like terms: -24 + 6 = -18 -18 + 36x + -4x = 0 Combine like terms: 36x + -4x = 32x -18 + 32x = 0 Solving -18 + 32x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 32x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 32x = 0 + 18 32x = 0 + 18 Combine like terms: 0 + 18 = 18 32x = 18 Divide each side by '32'. x = 0.5625 Simplifying x = 0.5625
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