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Simplifying (3 + -1x)(5 + x) + -4x = (2 + -1x)(8 + x) + -1x Multiply (3 + -1x) * (5 + x) (3(5 + x) + -1x * (5 + x)) + -4x = (2 + -1x)(8 + x) + -1x ((5 * 3 + x * 3) + -1x * (5 + x)) + -4x = (2 + -1x)(8 + x) + -1x ((15 + 3x) + -1x * (5 + x)) + -4x = (2 + -1x)(8 + x) + -1x (15 + 3x + (5 * -1x + x * -1x)) + -4x = (2 + -1x)(8 + x) + -1x (15 + 3x + (-5x + -1x2)) + -4x = (2 + -1x)(8 + x) + -1x Combine like terms: 3x + -5x = -2x (15 + -2x + -1x2) + -4x = (2 + -1x)(8 + x) + -1x Reorder the terms: 15 + -2x + -4x + -1x2 = (2 + -1x)(8 + x) + -1x Combine like terms: -2x + -4x = -6x 15 + -6x + -1x2 = (2 + -1x)(8 + x) + -1x Multiply (2 + -1x) * (8 + x) 15 + -6x + -1x2 = (2(8 + x) + -1x * (8 + x)) + -1x 15 + -6x + -1x2 = ((8 * 2 + x * 2) + -1x * (8 + x)) + -1x 15 + -6x + -1x2 = ((16 + 2x) + -1x * (8 + x)) + -1x 15 + -6x + -1x2 = (16 + 2x + (8 * -1x + x * -1x)) + -1x 15 + -6x + -1x2 = (16 + 2x + (-8x + -1x2)) + -1x Combine like terms: 2x + -8x = -6x 15 + -6x + -1x2 = (16 + -6x + -1x2) + -1x Reorder the terms: 15 + -6x + -1x2 = 16 + -6x + -1x + -1x2 Combine like terms: -6x + -1x = -7x 15 + -6x + -1x2 = 16 + -7x + -1x2 Add 'x2' to each side of the equation. 15 + -6x + -1x2 + x2 = 16 + -7x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 15 + -6x + 0 = 16 + -7x + -1x2 + x2 15 + -6x = 16 + -7x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 15 + -6x = 16 + -7x + 0 15 + -6x = 16 + -7x Solving 15 + -6x = 16 + -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. 15 + -6x + 7x = 16 + -7x + 7x Combine like terms: -6x + 7x = 1x 15 + 1x = 16 + -7x + 7x Combine like terms: -7x + 7x = 0 15 + 1x = 16 + 0 15 + 1x = 16 Add '-15' to each side of the equation. 15 + -15 + 1x = 16 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 16 + -15 1x = 16 + -15 Combine like terms: 16 + -15 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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