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Simplifying (6x + 5)(4x + 3) = 3x(8x + 11) Reorder the terms: (5 + 6x)(4x + 3) = 3x(8x + 11) Reorder the terms: (5 + 6x)(3 + 4x) = 3x(8x + 11) Multiply (5 + 6x) * (3 + 4x) (5(3 + 4x) + 6x * (3 + 4x)) = 3x(8x + 11) ((3 * 5 + 4x * 5) + 6x * (3 + 4x)) = 3x(8x + 11) ((15 + 20x) + 6x * (3 + 4x)) = 3x(8x + 11) (15 + 20x + (3 * 6x + 4x * 6x)) = 3x(8x + 11) (15 + 20x + (18x + 24x2)) = 3x(8x + 11) Combine like terms: 20x + 18x = 38x (15 + 38x + 24x2) = 3x(8x + 11) Reorder the terms: 15 + 38x + 24x2 = 3x(11 + 8x) 15 + 38x + 24x2 = (11 * 3x + 8x * 3x) 15 + 38x + 24x2 = (33x + 24x2) Add '-24x2' to each side of the equation. 15 + 38x + 24x2 + -24x2 = 33x + 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 15 + 38x + 0 = 33x + 24x2 + -24x2 15 + 38x = 33x + 24x2 + -24x2 Combine like terms: 24x2 + -24x2 = 0 15 + 38x = 33x + 0 15 + 38x = 33x Solving 15 + 38x = 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. 15 + 38x + -33x = 33x + -33x Combine like terms: 38x + -33x = 5x 15 + 5x = 33x + -33x Combine like terms: 33x + -33x = 0 15 + 5x = 0 Add '-15' to each side of the equation. 15 + -15 + 5x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 0 + -15 5x = 0 + -15 Combine like terms: 0 + -15 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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