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Simplifying -6(3x + -6) + 5(x + -6) = 0 Reorder the terms: -6(-6 + 3x) + 5(x + -6) = 0 (-6 * -6 + 3x * -6) + 5(x + -6) = 0 (36 + -18x) + 5(x + -6) = 0 Reorder the terms: 36 + -18x + 5(-6 + x) = 0 36 + -18x + (-6 * 5 + x * 5) = 0 36 + -18x + (-30 + 5x) = 0 Reorder the terms: 36 + -30 + -18x + 5x = 0 Combine like terms: 36 + -30 = 6 6 + -18x + 5x = 0 Combine like terms: -18x + 5x = -13x 6 + -13x = 0 Solving 6 + -13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -13x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -13x = 0 + -6 -13x = 0 + -6 Combine like terms: 0 + -6 = -6 -13x = -6 Divide each side by '-13'. x = 0.4615384615 Simplifying x = 0.4615384615
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