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Simplifying x(3x + -7) = (3x + 5)(x + -3) Reorder the terms: x(-7 + 3x) = (3x + 5)(x + -3) (-7 * x + 3x * x) = (3x + 5)(x + -3) (-7x + 3x2) = (3x + 5)(x + -3) Reorder the terms: -7x + 3x2 = (5 + 3x)(x + -3) Reorder the terms: -7x + 3x2 = (5 + 3x)(-3 + x) Multiply (5 + 3x) * (-3 + x) -7x + 3x2 = (5(-3 + x) + 3x * (-3 + x)) -7x + 3x2 = ((-3 * 5 + x * 5) + 3x * (-3 + x)) -7x + 3x2 = ((-15 + 5x) + 3x * (-3 + x)) -7x + 3x2 = (-15 + 5x + (-3 * 3x + x * 3x)) -7x + 3x2 = (-15 + 5x + (-9x + 3x2)) Combine like terms: 5x + -9x = -4x -7x + 3x2 = (-15 + -4x + 3x2) Add '-3x2' to each side of the equation. -7x + 3x2 + -3x2 = -15 + -4x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -7x + 0 = -15 + -4x + 3x2 + -3x2 -7x = -15 + -4x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -7x = -15 + -4x + 0 -7x = -15 + -4x Solving -7x = -15 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -7x + 4x = -15 + -4x + 4x Combine like terms: -7x + 4x = -3x -3x = -15 + -4x + 4x Combine like terms: -4x + 4x = 0 -3x = -15 + 0 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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