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Simplifying 3x(x + -5) + -3x(x + 7) = 0 Reorder the terms: 3x(-5 + x) + -3x(x + 7) = 0 (-5 * 3x + x * 3x) + -3x(x + 7) = 0 (-15x + 3x2) + -3x(x + 7) = 0 Reorder the terms: -15x + 3x2 + -3x(7 + x) = 0 -15x + 3x2 + (7 * -3x + x * -3x) = 0 -15x + 3x2 + (-21x + -3x2) = 0 Reorder the terms: -15x + -21x + 3x2 + -3x2 = 0 Combine like terms: -15x + -21x = -36x -36x + 3x2 + -3x2 = 0 Combine like terms: 3x2 + -3x2 = 0 -36x + 0 = 0 -36x = 0 Solving -36x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-36'. x = 0 Simplifying x = 0
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