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Simplifying x(3x + -3) = (3x + 5)(x + -4) Reorder the terms: x(-3 + 3x) = (3x + 5)(x + -4) (-3 * x + 3x * x) = (3x + 5)(x + -4) (-3x + 3x2) = (3x + 5)(x + -4) Reorder the terms: -3x + 3x2 = (5 + 3x)(x + -4) Reorder the terms: -3x + 3x2 = (5 + 3x)(-4 + x) Multiply (5 + 3x) * (-4 + x) -3x + 3x2 = (5(-4 + x) + 3x * (-4 + x)) -3x + 3x2 = ((-4 * 5 + x * 5) + 3x * (-4 + x)) -3x + 3x2 = ((-20 + 5x) + 3x * (-4 + x)) -3x + 3x2 = (-20 + 5x + (-4 * 3x + x * 3x)) -3x + 3x2 = (-20 + 5x + (-12x + 3x2)) Combine like terms: 5x + -12x = -7x -3x + 3x2 = (-20 + -7x + 3x2) Add '-3x2' to each side of the equation. -3x + 3x2 + -3x2 = -20 + -7x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3x + 0 = -20 + -7x + 3x2 + -3x2 -3x = -20 + -7x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3x = -20 + -7x + 0 -3x = -20 + -7x Solving -3x = -20 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -3x + 7x = -20 + -7x + 7x Combine like terms: -3x + 7x = 4x 4x = -20 + -7x + 7x Combine like terms: -7x + 7x = 0 4x = -20 + 0 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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