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Simplifying 3x(x + -5) + -3x(x + -7) = 72 Reorder the terms: 3x(-5 + x) + -3x(x + -7) = 72 (-5 * 3x + x * 3x) + -3x(x + -7) = 72 (-15x + 3x2) + -3x(x + -7) = 72 Reorder the terms: -15x + 3x2 + -3x(-7 + x) = 72 -15x + 3x2 + (-7 * -3x + x * -3x) = 72 -15x + 3x2 + (21x + -3x2) = 72 Reorder the terms: -15x + 21x + 3x2 + -3x2 = 72 Combine like terms: -15x + 21x = 6x 6x + 3x2 + -3x2 = 72 Combine like terms: 3x2 + -3x2 = 0 6x + 0 = 72 6x = 72 Solving 6x = 72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '6'. x = 12 Simplifying x = 12
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