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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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