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Simplifying 3x + -6[8(x + 4) + -1(x + -9)] + -4 = 0 Reorder the terms: 3x + -6[8(4 + x) + -1(x + -9)] + -4 = 0 3x + -6[(4 * 8 + x * 8) + -1(x + -9)] + -4 = 0 3x + -6[(32 + 8x) + -1(x + -9)] + -4 = 0 Reorder the terms: 3x + -6[32 + 8x + -1(-9 + x)] + -4 = 0 3x + -6[32 + 8x + (-9 * -1 + x * -1)] + -4 = 0 3x + -6[32 + 8x + (9 + -1x)] + -4 = 0 Reorder the terms: 3x + -6[32 + 9 + 8x + -1x] + -4 = 0 Combine like terms: 32 + 9 = 41 3x + -6[41 + 8x + -1x] + -4 = 0 Combine like terms: 8x + -1x = 7x 3x + -6[41 + 7x] + -4 = 0 3x + [41 * -6 + 7x * -6] + -4 = 0 3x + [-246 + -42x] + -4 = 0 Reorder the terms: -246 + -4 + 3x + -42x = 0 Combine like terms: -246 + -4 = -250 -250 + 3x + -42x = 0 Combine like terms: 3x + -42x = -39x -250 + -39x = 0 Solving -250 + -39x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '250' to each side of the equation. -250 + 250 + -39x = 0 + 250 Combine like terms: -250 + 250 = 0 0 + -39x = 0 + 250 -39x = 0 + 250 Combine like terms: 0 + 250 = 250 -39x = 250 Divide each side by '-39'. x = -6.41025641 Simplifying x = -6.41025641
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