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Simplifying 4x + -1(1 + -1x) = 3[5 + -2(2 + 9x + -8)] 4x + (1 * -1 + -1x * -1) = 3[5 + -2(2 + 9x + -8)] 4x + (-1 + 1x) = 3[5 + -2(2 + 9x + -8)] Reorder the terms: -1 + 4x + 1x = 3[5 + -2(2 + 9x + -8)] Combine like terms: 4x + 1x = 5x -1 + 5x = 3[5 + -2(2 + 9x + -8)] Reorder the terms: -1 + 5x = 3[5 + -2(2 + -8 + 9x)] Combine like terms: 2 + -8 = -6 -1 + 5x = 3[5 + -2(-6 + 9x)] -1 + 5x = 3[5 + (-6 * -2 + 9x * -2)] -1 + 5x = 3[5 + (12 + -18x)] Combine like terms: 5 + 12 = 17 -1 + 5x = 3[17 + -18x] -1 + 5x = [17 * 3 + -18x * 3] -1 + 5x = [51 + -54x] Solving -1 + 5x = 51 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. -1 + 5x + 54x = 51 + -54x + 54x Combine like terms: 5x + 54x = 59x -1 + 59x = 51 + -54x + 54x Combine like terms: -54x + 54x = 0 -1 + 59x = 51 + 0 -1 + 59x = 51 Add '1' to each side of the equation. -1 + 1 + 59x = 51 + 1 Combine like terms: -1 + 1 = 0 0 + 59x = 51 + 1 59x = 51 + 1 Combine like terms: 51 + 1 = 52 59x = 52 Divide each side by '59'. x = 0.8813559322 Simplifying x = 0.8813559322
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