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Simplifying (x + -3) * 4x = (4x + -5)(x + 2) Reorder the terms: (-3 + x) * 4x = (4x + -5)(x + 2) Reorder the terms for easier multiplication: 4x(-3 + x) = (4x + -5)(x + 2) (-3 * 4x + x * 4x) = (4x + -5)(x + 2) (-12x + 4x2) = (4x + -5)(x + 2) Reorder the terms: -12x + 4x2 = (-5 + 4x)(x + 2) Reorder the terms: -12x + 4x2 = (-5 + 4x)(2 + x) Multiply (-5 + 4x) * (2 + x) -12x + 4x2 = (-5(2 + x) + 4x * (2 + x)) -12x + 4x2 = ((2 * -5 + x * -5) + 4x * (2 + x)) -12x + 4x2 = ((-10 + -5x) + 4x * (2 + x)) -12x + 4x2 = (-10 + -5x + (2 * 4x + x * 4x)) -12x + 4x2 = (-10 + -5x + (8x + 4x2)) Combine like terms: -5x + 8x = 3x -12x + 4x2 = (-10 + 3x + 4x2) Add '-4x2' to each side of the equation. -12x + 4x2 + -4x2 = -10 + 3x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -12x + 0 = -10 + 3x + 4x2 + -4x2 -12x = -10 + 3x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -12x = -10 + 3x + 0 -12x = -10 + 3x Solving -12x = -10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12x + -3x = -10 + 3x + -3x Combine like terms: -12x + -3x = -15x -15x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -15x = -10 + 0 -15x = -10 Divide each side by '-15'. x = 0.6666666667 Simplifying x = 0.6666666667
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