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Simplifying 4x + (x + -2)(x + -3) + -3 = x2 + 5 Reorder the terms: 4x + (-2 + x)(x + -3) + -3 = x2 + 5 Reorder the terms: 4x + (-2 + x)(-3 + x) + -3 = x2 + 5 Multiply (-2 + x) * (-3 + x) 4x + (-2(-3 + x) + x(-3 + x)) + -3 = x2 + 5 4x + ((-3 * -2 + x * -2) + x(-3 + x)) + -3 = x2 + 5 4x + ((6 + -2x) + x(-3 + x)) + -3 = x2 + 5 4x + (6 + -2x + (-3 * x + x * x)) + -3 = x2 + 5 4x + (6 + -2x + (-3x + x2)) + -3 = x2 + 5 Combine like terms: -2x + -3x = -5x 4x + (6 + -5x + x2) + -3 = x2 + 5 Reorder the terms: 6 + -3 + 4x + -5x + x2 = x2 + 5 Combine like terms: 6 + -3 = 3 3 + 4x + -5x + x2 = x2 + 5 Combine like terms: 4x + -5x = -1x 3 + -1x + x2 = x2 + 5 Reorder the terms: 3 + -1x + x2 = 5 + x2 Add '-1x2' to each side of the equation. 3 + -1x + x2 + -1x2 = 5 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3 + -1x + 0 = 5 + x2 + -1x2 3 + -1x = 5 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3 + -1x = 5 + 0 3 + -1x = 5 Solving 3 + -1x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 5 + -3 -1x = 5 + -3 Combine like terms: 5 + -3 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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