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Simplifying x(x + 4) + -2 = x2 + -4(x + 3) Reorder the terms: x(4 + x) + -2 = x2 + -4(x + 3) (4 * x + x * x) + -2 = x2 + -4(x + 3) (4x + x2) + -2 = x2 + -4(x + 3) Reorder the terms: -2 + 4x + x2 = x2 + -4(x + 3) Reorder the terms: -2 + 4x + x2 = x2 + -4(3 + x) -2 + 4x + x2 = x2 + (3 * -4 + x * -4) -2 + 4x + x2 = x2 + (-12 + -4x) Reorder the terms: -2 + 4x + x2 = -12 + -4x + x2 Add '-1x2' to each side of the equation. -2 + 4x + x2 + -1x2 = -12 + -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 4x + 0 = -12 + -4x + x2 + -1x2 -2 + 4x = -12 + -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 4x = -12 + -4x + 0 -2 + 4x = -12 + -4x Solving -2 + 4x = -12 + -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. -2 + 4x + 4x = -12 + -4x + 4x Combine like terms: 4x + 4x = 8x -2 + 8x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 8x = -12 + 0 -2 + 8x = -12 Add '2' to each side of the equation. -2 + 2 + 8x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = -12 + 2 8x = -12 + 2 Combine like terms: -12 + 2 = -10 8x = -10 Divide each side by '8'. x = -1.25 Simplifying x = -1.25
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