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Simplifying (5x + -3)(x + -4) = 5x(x + -8) Reorder the terms: (-3 + 5x)(x + -4) = 5x(x + -8) Reorder the terms: (-3 + 5x)(-4 + x) = 5x(x + -8) Multiply (-3 + 5x) * (-4 + x) (-3(-4 + x) + 5x * (-4 + x)) = 5x(x + -8) ((-4 * -3 + x * -3) + 5x * (-4 + x)) = 5x(x + -8) ((12 + -3x) + 5x * (-4 + x)) = 5x(x + -8) (12 + -3x + (-4 * 5x + x * 5x)) = 5x(x + -8) (12 + -3x + (-20x + 5x2)) = 5x(x + -8) Combine like terms: -3x + -20x = -23x (12 + -23x + 5x2) = 5x(x + -8) Reorder the terms: 12 + -23x + 5x2 = 5x(-8 + x) 12 + -23x + 5x2 = (-8 * 5x + x * 5x) 12 + -23x + 5x2 = (-40x + 5x2) Add '-5x2' to each side of the equation. 12 + -23x + 5x2 + -5x2 = -40x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 12 + -23x + 0 = -40x + 5x2 + -5x2 12 + -23x = -40x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 12 + -23x = -40x + 0 12 + -23x = -40x Solving 12 + -23x = -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 12 + -23x + 40x = -40x + 40x Combine like terms: -23x + 40x = 17x 12 + 17x = -40x + 40x Combine like terms: -40x + 40x = 0 12 + 17x = 0 Add '-12' to each side of the equation. 12 + -12 + 17x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 17x = 0 + -12 17x = 0 + -12 Combine like terms: 0 + -12 = -12 17x = -12 Divide each side by '17'. x = -0.7058823529 Simplifying x = -0.7058823529
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