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Simplifying x(3x + -7) = (3x + 6)(x + -5) Reorder the terms: x(-7 + 3x) = (3x + 6)(x + -5) (-7 * x + 3x * x) = (3x + 6)(x + -5) (-7x + 3x2) = (3x + 6)(x + -5) Reorder the terms: -7x + 3x2 = (6 + 3x)(x + -5) Reorder the terms: -7x + 3x2 = (6 + 3x)(-5 + x) Multiply (6 + 3x) * (-5 + x) -7x + 3x2 = (6(-5 + x) + 3x * (-5 + x)) -7x + 3x2 = ((-5 * 6 + x * 6) + 3x * (-5 + x)) -7x + 3x2 = ((-30 + 6x) + 3x * (-5 + x)) -7x + 3x2 = (-30 + 6x + (-5 * 3x + x * 3x)) -7x + 3x2 = (-30 + 6x + (-15x + 3x2)) Combine like terms: 6x + -15x = -9x -7x + 3x2 = (-30 + -9x + 3x2) Add '-3x2' to each side of the equation. -7x + 3x2 + -3x2 = -30 + -9x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -7x + 0 = -30 + -9x + 3x2 + -3x2 -7x = -30 + -9x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -7x = -30 + -9x + 0 -7x = -30 + -9x Solving -7x = -30 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -7x + 9x = -30 + -9x + 9x Combine like terms: -7x + 9x = 2x 2x = -30 + -9x + 9x Combine like terms: -9x + 9x = 0 2x = -30 + 0 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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