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Simplifying 2(3x + -1(4x + -6)) + -5(x + -6) = 0 Reorder the terms: 2(3x + -1(-6 + 4x)) + -5(x + -6) = 0 2(3x + (-6 * -1 + 4x * -1)) + -5(x + -6) = 0 2(3x + (6 + -4x)) + -5(x + -6) = 0 Reorder the terms: 2(6 + 3x + -4x) + -5(x + -6) = 0 Combine like terms: 3x + -4x = -1x 2(6 + -1x) + -5(x + -6) = 0 (6 * 2 + -1x * 2) + -5(x + -6) = 0 (12 + -2x) + -5(x + -6) = 0 Reorder the terms: 12 + -2x + -5(-6 + x) = 0 12 + -2x + (-6 * -5 + x * -5) = 0 12 + -2x + (30 + -5x) = 0 Reorder the terms: 12 + 30 + -2x + -5x = 0 Combine like terms: 12 + 30 = 42 42 + -2x + -5x = 0 Combine like terms: -2x + -5x = -7x 42 + -7x = 0 Solving 42 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -7x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -7x = 0 + -42 -7x = 0 + -42 Combine like terms: 0 + -42 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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