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Simplifying (x + 2)(x + -1) + 26 = (x + 4)(x + 5) Reorder the terms: (2 + x)(x + -1) + 26 = (x + 4)(x + 5) Reorder the terms: (2 + x)(-1 + x) + 26 = (x + 4)(x + 5) Multiply (2 + x) * (-1 + x) (2(-1 + x) + x(-1 + x)) + 26 = (x + 4)(x + 5) ((-1 * 2 + x * 2) + x(-1 + x)) + 26 = (x + 4)(x + 5) ((-2 + 2x) + x(-1 + x)) + 26 = (x + 4)(x + 5) (-2 + 2x + (-1 * x + x * x)) + 26 = (x + 4)(x + 5) (-2 + 2x + (-1x + x2)) + 26 = (x + 4)(x + 5) Combine like terms: 2x + -1x = 1x (-2 + 1x + x2) + 26 = (x + 4)(x + 5) Reorder the terms: -2 + 26 + 1x + x2 = (x + 4)(x + 5) Combine like terms: -2 + 26 = 24 24 + 1x + x2 = (x + 4)(x + 5) Reorder the terms: 24 + 1x + x2 = (4 + x)(x + 5) Reorder the terms: 24 + 1x + x2 = (4 + x)(5 + x) Multiply (4 + x) * (5 + x) 24 + 1x + x2 = (4(5 + x) + x(5 + x)) 24 + 1x + x2 = ((5 * 4 + x * 4) + x(5 + x)) 24 + 1x + x2 = ((20 + 4x) + x(5 + x)) 24 + 1x + x2 = (20 + 4x + (5 * x + x * x)) 24 + 1x + x2 = (20 + 4x + (5x + x2)) Combine like terms: 4x + 5x = 9x 24 + 1x + x2 = (20 + 9x + x2) Add '-1x2' to each side of the equation. 24 + 1x + x2 + -1x2 = 20 + 9x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 24 + 1x + 0 = 20 + 9x + x2 + -1x2 24 + 1x = 20 + 9x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 24 + 1x = 20 + 9x + 0 24 + 1x = 20 + 9x Solving 24 + 1x = 20 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 24 + 1x + -9x = 20 + 9x + -9x Combine like terms: 1x + -9x = -8x 24 + -8x = 20 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + -8x = 20 + 0 24 + -8x = 20 Add '-24' to each side of the equation. 24 + -24 + -8x = 20 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = 20 + -24 -8x = 20 + -24 Combine like terms: 20 + -24 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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