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Simplifying x(4x + -6) = (4x + 7)(x + -5) Reorder the terms: x(-6 + 4x) = (4x + 7)(x + -5) (-6 * x + 4x * x) = (4x + 7)(x + -5) (-6x + 4x2) = (4x + 7)(x + -5) Reorder the terms: -6x + 4x2 = (7 + 4x)(x + -5) Reorder the terms: -6x + 4x2 = (7 + 4x)(-5 + x) Multiply (7 + 4x) * (-5 + x) -6x + 4x2 = (7(-5 + x) + 4x * (-5 + x)) -6x + 4x2 = ((-5 * 7 + x * 7) + 4x * (-5 + x)) -6x + 4x2 = ((-35 + 7x) + 4x * (-5 + x)) -6x + 4x2 = (-35 + 7x + (-5 * 4x + x * 4x)) -6x + 4x2 = (-35 + 7x + (-20x + 4x2)) Combine like terms: 7x + -20x = -13x -6x + 4x2 = (-35 + -13x + 4x2) Add '-4x2' to each side of the equation. -6x + 4x2 + -4x2 = -35 + -13x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6x + 0 = -35 + -13x + 4x2 + -4x2 -6x = -35 + -13x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6x = -35 + -13x + 0 -6x = -35 + -13x Solving -6x = -35 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -6x + 13x = -35 + -13x + 13x Combine like terms: -6x + 13x = 7x 7x = -35 + -13x + 13x Combine like terms: -13x + 13x = 0 7x = -35 + 0 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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