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Simplifying 4x(x + -5) + -1(x + -1)(4x + -3) = 5 Reorder the terms: 4x(-5 + x) + -1(x + -1)(4x + -3) = 5 (-5 * 4x + x * 4x) + -1(x + -1)(4x + -3) = 5 (-20x + 4x2) + -1(x + -1)(4x + -3) = 5 Reorder the terms: -20x + 4x2 + -1(-1 + x)(4x + -3) = 5 Reorder the terms: -20x + 4x2 + -1(-1 + x)(-3 + 4x) = 5 Multiply (-1 + x) * (-3 + 4x) -20x + 4x2 + -1(-1(-3 + 4x) + x(-3 + 4x)) = 5 -20x + 4x2 + -1((-3 * -1 + 4x * -1) + x(-3 + 4x)) = 5 -20x + 4x2 + -1((3 + -4x) + x(-3 + 4x)) = 5 -20x + 4x2 + -1(3 + -4x + (-3 * x + 4x * x)) = 5 -20x + 4x2 + -1(3 + -4x + (-3x + 4x2)) = 5 Combine like terms: -4x + -3x = -7x -20x + 4x2 + -1(3 + -7x + 4x2) = 5 -20x + 4x2 + (3 * -1 + -7x * -1 + 4x2 * -1) = 5 -20x + 4x2 + (-3 + 7x + -4x2) = 5 Reorder the terms: -3 + -20x + 7x + 4x2 + -4x2 = 5 Combine like terms: -20x + 7x = -13x -3 + -13x + 4x2 + -4x2 = 5 Combine like terms: 4x2 + -4x2 = 0 -3 + -13x + 0 = 5 -3 + -13x = 5 Solving -3 + -13x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -13x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -13x = 5 + 3 -13x = 5 + 3 Combine like terms: 5 + 3 = 8 -13x = 8 Divide each side by '-13'. x = -0.6153846154 Simplifying x = -0.6153846154
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