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Simplifying (x + 5)(3x + 4) = (x + 33)(3x + -4) Reorder the terms: (5 + x)(3x + 4) = (x + 33)(3x + -4) Reorder the terms: (5 + x)(4 + 3x) = (x + 33)(3x + -4) Multiply (5 + x) * (4 + 3x) (5(4 + 3x) + x(4 + 3x)) = (x + 33)(3x + -4) ((4 * 5 + 3x * 5) + x(4 + 3x)) = (x + 33)(3x + -4) ((20 + 15x) + x(4 + 3x)) = (x + 33)(3x + -4) (20 + 15x + (4 * x + 3x * x)) = (x + 33)(3x + -4) (20 + 15x + (4x + 3x2)) = (x + 33)(3x + -4) Combine like terms: 15x + 4x = 19x (20 + 19x + 3x2) = (x + 33)(3x + -4) Reorder the terms: 20 + 19x + 3x2 = (33 + x)(3x + -4) Reorder the terms: 20 + 19x + 3x2 = (33 + x)(-4 + 3x) Multiply (33 + x) * (-4 + 3x) 20 + 19x + 3x2 = (33(-4 + 3x) + x(-4 + 3x)) 20 + 19x + 3x2 = ((-4 * 33 + 3x * 33) + x(-4 + 3x)) 20 + 19x + 3x2 = ((-132 + 99x) + x(-4 + 3x)) 20 + 19x + 3x2 = (-132 + 99x + (-4 * x + 3x * x)) 20 + 19x + 3x2 = (-132 + 99x + (-4x + 3x2)) Combine like terms: 99x + -4x = 95x 20 + 19x + 3x2 = (-132 + 95x + 3x2) Add '-3x2' to each side of the equation. 20 + 19x + 3x2 + -3x2 = -132 + 95x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 20 + 19x + 0 = -132 + 95x + 3x2 + -3x2 20 + 19x = -132 + 95x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 20 + 19x = -132 + 95x + 0 20 + 19x = -132 + 95x Solving 20 + 19x = -132 + 95x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-95x' to each side of the equation. 20 + 19x + -95x = -132 + 95x + -95x Combine like terms: 19x + -95x = -76x 20 + -76x = -132 + 95x + -95x Combine like terms: 95x + -95x = 0 20 + -76x = -132 + 0 20 + -76x = -132 Add '-20' to each side of the equation. 20 + -20 + -76x = -132 + -20 Combine like terms: 20 + -20 = 0 0 + -76x = -132 + -20 -76x = -132 + -20 Combine like terms: -132 + -20 = -152 -76x = -152 Divide each side by '-76'. x = 2 Simplifying x = 2
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