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Simplifying (x + 2)(x + -3) = x2 + 7x Reorder the terms: (2 + x)(x + -3) = x2 + 7x Reorder the terms: (2 + x)(-3 + x) = x2 + 7x Multiply (2 + x) * (-3 + x) (2(-3 + x) + x(-3 + x)) = x2 + 7x ((-3 * 2 + x * 2) + x(-3 + x)) = x2 + 7x ((-6 + 2x) + x(-3 + x)) = x2 + 7x (-6 + 2x + (-3 * x + x * x)) = x2 + 7x (-6 + 2x + (-3x + x2)) = x2 + 7x Combine like terms: 2x + -3x = -1x (-6 + -1x + x2) = x2 + 7x Reorder the terms: -6 + -1x + x2 = 7x + x2 Add '-1x2' to each side of the equation. -6 + -1x + x2 + -1x2 = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + -1x + 0 = 7x + x2 + -1x2 -6 + -1x = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + -1x = 7x + 0 -6 + -1x = 7x Solving -6 + -1x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + -1x + -7x = 7x + -7x Combine like terms: -1x + -7x = -8x -6 + -8x = 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -8x = 0 Add '6' to each side of the equation. -6 + 6 + -8x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 0 + 6 -8x = 0 + 6 Combine like terms: 0 + 6 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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