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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 = -17x (-12 + -17x + 5x2) = 5x(x + 8) Reorder the terms: -12 + -17x + 5x2 = 5x(8 + x) -12 + -17x + 5x2 = (8 * 5x + x * 5x) -12 + -17x + 5x2 = (40x + 5x2) Add '-5x2' to each side of the equation. -12 + -17x + 5x2 + -5x2 = 40x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -12 + -17x + 0 = 40x + 5x2 + -5x2 -12 + -17x = 40x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -12 + -17x = 40x + 0 -12 + -17x = 40x Solving -12 + -17x = 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 + -17x + -40x = 40x + -40x Combine like terms: -17x + -40x = -57x -12 + -57x = 40x + -40x Combine like terms: 40x + -40x = 0 -12 + -57x = 0 Add '12' to each side of the equation. -12 + 12 + -57x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -57x = 0 + 12 -57x = 0 + 12 Combine like terms: 0 + 12 = 12 -57x = 12 Divide each side by '-57'. x = -0.2105263158 Simplifying x = -0.2105263158
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