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Simplifying (x + 7)(x + -3) = (x + 5)(x + 2) Reorder the terms: (7 + x)(x + -3) = (x + 5)(x + 2) Reorder the terms: (7 + x)(-3 + x) = (x + 5)(x + 2) Multiply (7 + x) * (-3 + x) (7(-3 + x) + x(-3 + x)) = (x + 5)(x + 2) ((-3 * 7 + x * 7) + x(-3 + x)) = (x + 5)(x + 2) ((-21 + 7x) + x(-3 + x)) = (x + 5)(x + 2) (-21 + 7x + (-3 * x + x * x)) = (x + 5)(x + 2) (-21 + 7x + (-3x + x2)) = (x + 5)(x + 2) Combine like terms: 7x + -3x = 4x (-21 + 4x + x2) = (x + 5)(x + 2) Reorder the terms: -21 + 4x + x2 = (5 + x)(x + 2) Reorder the terms: -21 + 4x + x2 = (5 + x)(2 + x) Multiply (5 + x) * (2 + x) -21 + 4x + x2 = (5(2 + x) + x(2 + x)) -21 + 4x + x2 = ((2 * 5 + x * 5) + x(2 + x)) -21 + 4x + x2 = ((10 + 5x) + x(2 + x)) -21 + 4x + x2 = (10 + 5x + (2 * x + x * x)) -21 + 4x + x2 = (10 + 5x + (2x + x2)) Combine like terms: 5x + 2x = 7x -21 + 4x + x2 = (10 + 7x + x2) Add '-1x2' to each side of the equation. -21 + 4x + x2 + -1x2 = 10 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -21 + 4x + 0 = 10 + 7x + x2 + -1x2 -21 + 4x = 10 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -21 + 4x = 10 + 7x + 0 -21 + 4x = 10 + 7x Solving -21 + 4x = 10 + 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. -21 + 4x + -7x = 10 + 7x + -7x Combine like terms: 4x + -7x = -3x -21 + -3x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + -3x = 10 + 0 -21 + -3x = 10 Add '21' to each side of the equation. -21 + 21 + -3x = 10 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = 10 + 21 -3x = 10 + 21 Combine like terms: 10 + 21 = 31 -3x = 31 Divide each side by '-3'. x = -10.33333333 Simplifying x = -10.33333333
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