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Simplifying 8 + -1(4x + -1(5x + 13) + -1(5 + -2x)) = 2x + -1(7 + -1(5x + 9)) Reorder the terms: 8 + -1(4x + -1(13 + 5x) + -1(5 + -2x)) = 2x + -1(7 + -1(5x + 9)) 8 + -1(4x + (13 * -1 + 5x * -1) + -1(5 + -2x)) = 2x + -1(7 + -1(5x + 9)) 8 + -1(4x + (-13 + -5x) + -1(5 + -2x)) = 2x + -1(7 + -1(5x + 9)) 8 + -1(4x + -13 + -5x + (5 * -1 + -2x * -1)) = 2x + -1(7 + -1(5x + 9)) 8 + -1(4x + -13 + -5x + (-5 + 2x)) = 2x + -1(7 + -1(5x + 9)) Reorder the terms: 8 + -1(-13 + -5 + 4x + -5x + 2x) = 2x + -1(7 + -1(5x + 9)) Combine like terms: -13 + -5 = -18 8 + -1(-18 + 4x + -5x + 2x) = 2x + -1(7 + -1(5x + 9)) Combine like terms: 4x + -5x = -1x 8 + -1(-18 + -1x + 2x) = 2x + -1(7 + -1(5x + 9)) Combine like terms: -1x + 2x = 1x 8 + -1(-18 + 1x) = 2x + -1(7 + -1(5x + 9)) 8 + (-18 * -1 + 1x * -1) = 2x + -1(7 + -1(5x + 9)) 8 + (18 + -1x) = 2x + -1(7 + -1(5x + 9)) Combine like terms: 8 + 18 = 26 26 + -1x = 2x + -1(7 + -1(5x + 9)) Reorder the terms: 26 + -1x = 2x + -1(7 + -1(9 + 5x)) 26 + -1x = 2x + -1(7 + (9 * -1 + 5x * -1)) 26 + -1x = 2x + -1(7 + (-9 + -5x)) Combine like terms: 7 + -9 = -2 26 + -1x = 2x + -1(-2 + -5x) 26 + -1x = 2x + (-2 * -1 + -5x * -1) 26 + -1x = 2x + (2 + 5x) Reorder the terms: 26 + -1x = 2 + 2x + 5x Combine like terms: 2x + 5x = 7x 26 + -1x = 2 + 7x Solving 26 + -1x = 2 + 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. 26 + -1x + -7x = 2 + 7x + -7x Combine like terms: -1x + -7x = -8x 26 + -8x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 26 + -8x = 2 + 0 26 + -8x = 2 Add '-26' to each side of the equation. 26 + -26 + -8x = 2 + -26 Combine like terms: 26 + -26 = 0 0 + -8x = 2 + -26 -8x = 2 + -26 Combine like terms: 2 + -26 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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