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Simplifying (2x + -6) + 6(3x + -4) = 0 Reorder the terms: (-6 + 2x) + 6(3x + -4) = 0 Remove parenthesis around (-6 + 2x) -6 + 2x + 6(3x + -4) = 0 Reorder the terms: -6 + 2x + 6(-4 + 3x) = 0 -6 + 2x + (-4 * 6 + 3x * 6) = 0 -6 + 2x + (-24 + 18x) = 0 Reorder the terms: -6 + -24 + 2x + 18x = 0 Combine like terms: -6 + -24 = -30 -30 + 2x + 18x = 0 Combine like terms: 2x + 18x = 20x -30 + 20x = 0 Solving -30 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 20x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 20x = 0 + 30 20x = 0 + 30 Combine like terms: 0 + 30 = 30 20x = 30 Divide each side by '20'. x = 1.5 Simplifying x = 1.5
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