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Simplifying (x + 5)(x + 3) + -2 = (x + -3)(x + 1) + 7 Reorder the terms: (5 + x)(x + 3) + -2 = (x + -3)(x + 1) + 7 Reorder the terms: (5 + x)(3 + x) + -2 = (x + -3)(x + 1) + 7 Multiply (5 + x) * (3 + x) (5(3 + x) + x(3 + x)) + -2 = (x + -3)(x + 1) + 7 ((3 * 5 + x * 5) + x(3 + x)) + -2 = (x + -3)(x + 1) + 7 ((15 + 5x) + x(3 + x)) + -2 = (x + -3)(x + 1) + 7 (15 + 5x + (3 * x + x * x)) + -2 = (x + -3)(x + 1) + 7 (15 + 5x + (3x + x2)) + -2 = (x + -3)(x + 1) + 7 Combine like terms: 5x + 3x = 8x (15 + 8x + x2) + -2 = (x + -3)(x + 1) + 7 Reorder the terms: 15 + -2 + 8x + x2 = (x + -3)(x + 1) + 7 Combine like terms: 15 + -2 = 13 13 + 8x + x2 = (x + -3)(x + 1) + 7 Reorder the terms: 13 + 8x + x2 = (-3 + x)(x + 1) + 7 Reorder the terms: 13 + 8x + x2 = (-3 + x)(1 + x) + 7 Multiply (-3 + x) * (1 + x) 13 + 8x + x2 = (-3(1 + x) + x(1 + x)) + 7 13 + 8x + x2 = ((1 * -3 + x * -3) + x(1 + x)) + 7 13 + 8x + x2 = ((-3 + -3x) + x(1 + x)) + 7 13 + 8x + x2 = (-3 + -3x + (1 * x + x * x)) + 7 13 + 8x + x2 = (-3 + -3x + (1x + x2)) + 7 Combine like terms: -3x + 1x = -2x 13 + 8x + x2 = (-3 + -2x + x2) + 7 Reorder the terms: 13 + 8x + x2 = -3 + 7 + -2x + x2 Combine like terms: -3 + 7 = 4 13 + 8x + x2 = 4 + -2x + x2 Add '-1x2' to each side of the equation. 13 + 8x + x2 + -1x2 = 4 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 13 + 8x + 0 = 4 + -2x + x2 + -1x2 13 + 8x = 4 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 13 + 8x = 4 + -2x + 0 13 + 8x = 4 + -2x Solving 13 + 8x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 13 + 8x + 2x = 4 + -2x + 2x Combine like terms: 8x + 2x = 10x 13 + 10x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 10x = 4 + 0 13 + 10x = 4 Add '-13' to each side of the equation. 13 + -13 + 10x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + 10x = 4 + -13 10x = 4 + -13 Combine like terms: 4 + -13 = -9 10x = -9 Divide each side by '10'. x = -0.9 Simplifying x = -0.9
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