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Simplifying (2x + -3)(2x + -3) + -4x(x + 2) + 49 = -4x Reorder the terms: (-3 + 2x)(2x + -3) + -4x(x + 2) + 49 = -4x Reorder the terms: (-3 + 2x)(-3 + 2x) + -4x(x + 2) + 49 = -4x Multiply (-3 + 2x) * (-3 + 2x) (-3(-3 + 2x) + 2x * (-3 + 2x)) + -4x(x + 2) + 49 = -4x ((-3 * -3 + 2x * -3) + 2x * (-3 + 2x)) + -4x(x + 2) + 49 = -4x ((9 + -6x) + 2x * (-3 + 2x)) + -4x(x + 2) + 49 = -4x (9 + -6x + (-3 * 2x + 2x * 2x)) + -4x(x + 2) + 49 = -4x (9 + -6x + (-6x + 4x2)) + -4x(x + 2) + 49 = -4x Combine like terms: -6x + -6x = -12x (9 + -12x + 4x2) + -4x(x + 2) + 49 = -4x Reorder the terms: 9 + -12x + 4x2 + -4x(2 + x) + 49 = -4x 9 + -12x + 4x2 + (2 * -4x + x * -4x) + 49 = -4x 9 + -12x + 4x2 + (-8x + -4x2) + 49 = -4x Reorder the terms: 9 + 49 + -12x + -8x + 4x2 + -4x2 = -4x Combine like terms: 9 + 49 = 58 58 + -12x + -8x + 4x2 + -4x2 = -4x Combine like terms: -12x + -8x = -20x 58 + -20x + 4x2 + -4x2 = -4x Combine like terms: 4x2 + -4x2 = 0 58 + -20x + 0 = -4x 58 + -20x = -4x Solving 58 + -20x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 58 + -20x + 4x = -4x + 4x Combine like terms: -20x + 4x = -16x 58 + -16x = -4x + 4x Combine like terms: -4x + 4x = 0 58 + -16x = 0 Add '-58' to each side of the equation. 58 + -58 + -16x = 0 + -58 Combine like terms: 58 + -58 = 0 0 + -16x = 0 + -58 -16x = 0 + -58 Combine like terms: 0 + -58 = -58 -16x = -58 Divide each side by '-16'. x = 3.625 Simplifying x = 3.625
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