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Simplifying x(5x + -6) = (5x + 7)(x + -4) Reorder the terms: x(-6 + 5x) = (5x + 7)(x + -4) (-6 * x + 5x * x) = (5x + 7)(x + -4) (-6x + 5x2) = (5x + 7)(x + -4) Reorder the terms: -6x + 5x2 = (7 + 5x)(x + -4) Reorder the terms: -6x + 5x2 = (7 + 5x)(-4 + x) Multiply (7 + 5x) * (-4 + x) -6x + 5x2 = (7(-4 + x) + 5x * (-4 + x)) -6x + 5x2 = ((-4 * 7 + x * 7) + 5x * (-4 + x)) -6x + 5x2 = ((-28 + 7x) + 5x * (-4 + x)) -6x + 5x2 = (-28 + 7x + (-4 * 5x + x * 5x)) -6x + 5x2 = (-28 + 7x + (-20x + 5x2)) Combine like terms: 7x + -20x = -13x -6x + 5x2 = (-28 + -13x + 5x2) Add '-5x2' to each side of the equation. -6x + 5x2 + -5x2 = -28 + -13x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -6x + 0 = -28 + -13x + 5x2 + -5x2 -6x = -28 + -13x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -6x = -28 + -13x + 0 -6x = -28 + -13x Solving -6x = -28 + -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 = -28 + -13x + 13x Combine like terms: -6x + 13x = 7x 7x = -28 + -13x + 13x Combine like terms: -13x + 13x = 0 7x = -28 + 0 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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