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Simplifying (2x + -3)(2x + -3) + 5x = (x + -3)(4x + 11) Reorder the terms: (-3 + 2x)(2x + -3) + 5x = (x + -3)(4x + 11) Reorder the terms: (-3 + 2x)(-3 + 2x) + 5x = (x + -3)(4x + 11) Multiply (-3 + 2x) * (-3 + 2x) (-3(-3 + 2x) + 2x * (-3 + 2x)) + 5x = (x + -3)(4x + 11) ((-3 * -3 + 2x * -3) + 2x * (-3 + 2x)) + 5x = (x + -3)(4x + 11) ((9 + -6x) + 2x * (-3 + 2x)) + 5x = (x + -3)(4x + 11) (9 + -6x + (-3 * 2x + 2x * 2x)) + 5x = (x + -3)(4x + 11) (9 + -6x + (-6x + 4x2)) + 5x = (x + -3)(4x + 11) Combine like terms: -6x + -6x = -12x (9 + -12x + 4x2) + 5x = (x + -3)(4x + 11) Reorder the terms: 9 + -12x + 5x + 4x2 = (x + -3)(4x + 11) Combine like terms: -12x + 5x = -7x 9 + -7x + 4x2 = (x + -3)(4x + 11) Reorder the terms: 9 + -7x + 4x2 = (-3 + x)(4x + 11) Reorder the terms: 9 + -7x + 4x2 = (-3 + x)(11 + 4x) Multiply (-3 + x) * (11 + 4x) 9 + -7x + 4x2 = (-3(11 + 4x) + x(11 + 4x)) 9 + -7x + 4x2 = ((11 * -3 + 4x * -3) + x(11 + 4x)) 9 + -7x + 4x2 = ((-33 + -12x) + x(11 + 4x)) 9 + -7x + 4x2 = (-33 + -12x + (11 * x + 4x * x)) 9 + -7x + 4x2 = (-33 + -12x + (11x + 4x2)) Combine like terms: -12x + 11x = -1x 9 + -7x + 4x2 = (-33 + -1x + 4x2) Add '-4x2' to each side of the equation. 9 + -7x + 4x2 + -4x2 = -33 + -1x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 9 + -7x + 0 = -33 + -1x + 4x2 + -4x2 9 + -7x = -33 + -1x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 9 + -7x = -33 + -1x + 0 9 + -7x = -33 + -1x Solving 9 + -7x = -33 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + -7x + x = -33 + -1x + x Combine like terms: -7x + x = -6x 9 + -6x = -33 + -1x + x Combine like terms: -1x + x = 0 9 + -6x = -33 + 0 9 + -6x = -33 Add '-9' to each side of the equation. 9 + -9 + -6x = -33 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -33 + -9 -6x = -33 + -9 Combine like terms: -33 + -9 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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