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Simplifying 6(9x + -4) + -1(6x + -12) = 0 Reorder the terms: 6(-4 + 9x) + -1(6x + -12) = 0 (-4 * 6 + 9x * 6) + -1(6x + -12) = 0 (-24 + 54x) + -1(6x + -12) = 0 Reorder the terms: -24 + 54x + -1(-12 + 6x) = 0 -24 + 54x + (-12 * -1 + 6x * -1) = 0 -24 + 54x + (12 + -6x) = 0 Reorder the terms: -24 + 12 + 54x + -6x = 0 Combine like terms: -24 + 12 = -12 -12 + 54x + -6x = 0 Combine like terms: 54x + -6x = 48x -12 + 48x = 0 Solving -12 + 48x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 48x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 48x = 0 + 12 48x = 0 + 12 Combine like terms: 0 + 12 = 12 48x = 12 Divide each side by '48'. x = 0.25 Simplifying x = 0.25
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