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Simplifying x(3x + 2) + -4 = 3x2 + 1 Reorder the terms: x(2 + 3x) + -4 = 3x2 + 1 (2 * x + 3x * x) + -4 = 3x2 + 1 (2x + 3x2) + -4 = 3x2 + 1 Reorder the terms: -4 + 2x + 3x2 = 3x2 + 1 Reorder the terms: -4 + 2x + 3x2 = 1 + 3x2 Add '-3x2' to each side of the equation. -4 + 2x + 3x2 + -3x2 = 1 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4 + 2x + 0 = 1 + 3x2 + -3x2 -4 + 2x = 1 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4 + 2x = 1 + 0 -4 + 2x = 1 Solving -4 + 2x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 1 + 4 2x = 1 + 4 Combine like terms: 1 + 4 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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