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Simplifying 5x + -1[3 + -1(x + -1)] = x + 3(26x + -8) Reorder the terms: 5x + -1[3 + -1(-1 + x)] = x + 3(26x + -8) 5x + -1[3 + (-1 * -1 + x * -1)] = x + 3(26x + -8) 5x + -1[3 + (1 + -1x)] = x + 3(26x + -8) Combine like terms: 3 + 1 = 4 5x + -1[4 + -1x] = x + 3(26x + -8) 5x + [4 * -1 + -1x * -1] = x + 3(26x + -8) 5x + [-4 + 1x] = x + 3(26x + -8) Reorder the terms: -4 + 5x + 1x = x + 3(26x + -8) Combine like terms: 5x + 1x = 6x -4 + 6x = x + 3(26x + -8) Reorder the terms: -4 + 6x = x + 3(-8 + 26x) -4 + 6x = x + (-8 * 3 + 26x * 3) -4 + 6x = x + (-24 + 78x) Reorder the terms: -4 + 6x = -24 + x + 78x Combine like terms: x + 78x = 79x -4 + 6x = -24 + 79x Solving -4 + 6x = -24 + 79x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-79x' to each side of the equation. -4 + 6x + -79x = -24 + 79x + -79x Combine like terms: 6x + -79x = -73x -4 + -73x = -24 + 79x + -79x Combine like terms: 79x + -79x = 0 -4 + -73x = -24 + 0 -4 + -73x = -24 Add '4' to each side of the equation. -4 + 4 + -73x = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -73x = -24 + 4 -73x = -24 + 4 Combine like terms: -24 + 4 = -20 -73x = -20 Divide each side by '-73'. x = 0.2739726027 Simplifying x = 0.2739726027
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