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Simplifying (2x + -6)(2x + 6) + 2x = -1(30 + -4x2) Reorder the terms: (-6 + 2x)(2x + 6) + 2x = -1(30 + -4x2) Reorder the terms: (-6 + 2x)(6 + 2x) + 2x = -1(30 + -4x2) Multiply (-6 + 2x) * (6 + 2x) (-6(6 + 2x) + 2x * (6 + 2x)) + 2x = -1(30 + -4x2) ((6 * -6 + 2x * -6) + 2x * (6 + 2x)) + 2x = -1(30 + -4x2) ((-36 + -12x) + 2x * (6 + 2x)) + 2x = -1(30 + -4x2) (-36 + -12x + (6 * 2x + 2x * 2x)) + 2x = -1(30 + -4x2) (-36 + -12x + (12x + 4x2)) + 2x = -1(30 + -4x2) Combine like terms: -12x + 12x = 0 (-36 + 0 + 4x2) + 2x = -1(30 + -4x2) (-36 + 4x2) + 2x = -1(30 + -4x2) Reorder the terms: -36 + 2x + 4x2 = -1(30 + -4x2) -36 + 2x + 4x2 = (30 * -1 + -4x2 * -1) -36 + 2x + 4x2 = (-30 + 4x2) Add '-4x2' to each side of the equation. -36 + 2x + 4x2 + -4x2 = -30 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -36 + 2x + 0 = -30 + 4x2 + -4x2 -36 + 2x = -30 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -36 + 2x = -30 + 0 -36 + 2x = -30 Solving -36 + 2x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 2x = -30 + 36 Combine like terms: -36 + 36 = 0 0 + 2x = -30 + 36 2x = -30 + 36 Combine like terms: -30 + 36 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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