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Simplifying x(x + -3) = x(x + 4) + 2 Reorder the terms: x(-3 + x) = x(x + 4) + 2 (-3 * x + x * x) = x(x + 4) + 2 (-3x + x2) = x(x + 4) + 2 Reorder the terms: -3x + x2 = x(4 + x) + 2 -3x + x2 = (4 * x + x * x) + 2 -3x + x2 = (4x + x2) + 2 Reorder the terms: -3x + x2 = 2 + 4x + x2 Add '-1x2' to each side of the equation. -3x + x2 + -1x2 = 2 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3x + 0 = 2 + 4x + x2 + -1x2 -3x = 2 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3x = 2 + 4x + 0 -3x = 2 + 4x Solving -3x = 2 + 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. -3x + -4x = 2 + 4x + -4x Combine like terms: -3x + -4x = -7x -7x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -7x = 2 + 0 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857
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