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Simplifying 8 + -2x + (8x + -4) + -1(2x + 5) = -3[2x + -3(4x + 5) + (x + 3)] + 9 Reorder the terms: 8 + -2x + (-4 + 8x) + -1(2x + 5) = -3[2x + -3(4x + 5) + (x + 3)] + 9 Remove parenthesis around (-4 + 8x) 8 + -2x + -4 + 8x + -1(2x + 5) = -3[2x + -3(4x + 5) + (x + 3)] + 9 Reorder the terms: 8 + -2x + -4 + 8x + -1(5 + 2x) = -3[2x + -3(4x + 5) + (x + 3)] + 9 8 + -2x + -4 + 8x + (5 * -1 + 2x * -1) = -3[2x + -3(4x + 5) + (x + 3)] + 9 8 + -2x + -4 + 8x + (-5 + -2x) = -3[2x + -3(4x + 5) + (x + 3)] + 9 Reorder the terms: 8 + -4 + -5 + -2x + 8x + -2x = -3[2x + -3(4x + 5) + (x + 3)] + 9 Combine like terms: 8 + -4 = 4 4 + -5 + -2x + 8x + -2x = -3[2x + -3(4x + 5) + (x + 3)] + 9 Combine like terms: 4 + -5 = -1 -1 + -2x + 8x + -2x = -3[2x + -3(4x + 5) + (x + 3)] + 9 Combine like terms: -2x + 8x = 6x -1 + 6x + -2x = -3[2x + -3(4x + 5) + (x + 3)] + 9 Combine like terms: 6x + -2x = 4x -1 + 4x = -3[2x + -3(4x + 5) + (x + 3)] + 9 Reorder the terms: -1 + 4x = -3[2x + -3(5 + 4x) + (x + 3)] + 9 -1 + 4x = -3[2x + (5 * -3 + 4x * -3) + (x + 3)] + 9 -1 + 4x = -3[2x + (-15 + -12x) + (x + 3)] + 9 Reorder the terms: -1 + 4x = -3[2x + -15 + -12x + (3 + x)] + 9 Remove parenthesis around (3 + x) -1 + 4x = -3[2x + -15 + -12x + 3 + x] + 9 Reorder the terms: -1 + 4x = -3[-15 + 3 + 2x + -12x + x] + 9 Combine like terms: -15 + 3 = -12 -1 + 4x = -3[-12 + 2x + -12x + x] + 9 Combine like terms: 2x + -12x = -10x -1 + 4x = -3[-12 + -10x + x] + 9 Combine like terms: -10x + x = -9x -1 + 4x = -3[-12 + -9x] + 9 -1 + 4x = [-12 * -3 + -9x * -3] + 9 -1 + 4x = [36 + 27x] + 9 Reorder the terms: -1 + 4x = 36 + 9 + 27x Combine like terms: 36 + 9 = 45 -1 + 4x = 45 + 27x Solving -1 + 4x = 45 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -1 + 4x + -27x = 45 + 27x + -27x Combine like terms: 4x + -27x = -23x -1 + -23x = 45 + 27x + -27x Combine like terms: 27x + -27x = 0 -1 + -23x = 45 + 0 -1 + -23x = 45 Add '1' to each side of the equation. -1 + 1 + -23x = 45 + 1 Combine like terms: -1 + 1 = 0 0 + -23x = 45 + 1 -23x = 45 + 1 Combine like terms: 45 + 1 = 46 -23x = 46 Divide each side by '-23'. x = -2 Simplifying x = -2
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