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Simplifying 6(3x + -5) + -2(4x + -5) = 0 Reorder the terms: 6(-5 + 3x) + -2(4x + -5) = 0 (-5 * 6 + 3x * 6) + -2(4x + -5) = 0 (-30 + 18x) + -2(4x + -5) = 0 Reorder the terms: -30 + 18x + -2(-5 + 4x) = 0 -30 + 18x + (-5 * -2 + 4x * -2) = 0 -30 + 18x + (10 + -8x) = 0 Reorder the terms: -30 + 10 + 18x + -8x = 0 Combine like terms: -30 + 10 = -20 -20 + 18x + -8x = 0 Combine like terms: 18x + -8x = 10x -20 + 10x = 0 Solving -20 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 10x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 0 + 20 10x = 0 + 20 Combine like terms: 0 + 20 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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