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