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Simplifying x(4x + -7) = (4x + 2)(x + -3) Reorder the terms: x(-7 + 4x) = (4x + 2)(x + -3) (-7 * x + 4x * x) = (4x + 2)(x + -3) (-7x + 4x2) = (4x + 2)(x + -3) Reorder the terms: -7x + 4x2 = (2 + 4x)(x + -3) Reorder the terms: -7x + 4x2 = (2 + 4x)(-3 + x) Multiply (2 + 4x) * (-3 + x) -7x + 4x2 = (2(-3 + x) + 4x * (-3 + x)) -7x + 4x2 = ((-3 * 2 + x * 2) + 4x * (-3 + x)) -7x + 4x2 = ((-6 + 2x) + 4x * (-3 + x)) -7x + 4x2 = (-6 + 2x + (-3 * 4x + x * 4x)) -7x + 4x2 = (-6 + 2x + (-12x + 4x2)) Combine like terms: 2x + -12x = -10x -7x + 4x2 = (-6 + -10x + 4x2) Add '-4x2' to each side of the equation. -7x + 4x2 + -4x2 = -6 + -10x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -7x + 0 = -6 + -10x + 4x2 + -4x2 -7x = -6 + -10x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -7x = -6 + -10x + 0 -7x = -6 + -10x Solving -7x = -6 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -7x + 10x = -6 + -10x + 10x Combine like terms: -7x + 10x = 3x 3x = -6 + -10x + 10x Combine like terms: -10x + 10x = 0 3x = -6 + 0 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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