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Simplifying -8[8x + -1(19x + 4)] = 4 + (10x + 6) Reorder the terms: -8[8x + -1(4 + 19x)] = 4 + (10x + 6) -8[8x + (4 * -1 + 19x * -1)] = 4 + (10x + 6) -8[8x + (-4 + -19x)] = 4 + (10x + 6) Reorder the terms: -8[-4 + 8x + -19x] = 4 + (10x + 6) Combine like terms: 8x + -19x = -11x -8[-4 + -11x] = 4 + (10x + 6) [-4 * -8 + -11x * -8] = 4 + (10x + 6) [32 + 88x] = 4 + (10x + 6) Reorder the terms: 32 + 88x = 4 + (6 + 10x) Remove parenthesis around (6 + 10x) 32 + 88x = 4 + 6 + 10x Combine like terms: 4 + 6 = 10 32 + 88x = 10 + 10x Solving 32 + 88x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 32 + 88x + -10x = 10 + 10x + -10x Combine like terms: 88x + -10x = 78x 32 + 78x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 32 + 78x = 10 + 0 32 + 78x = 10 Add '-32' to each side of the equation. 32 + -32 + 78x = 10 + -32 Combine like terms: 32 + -32 = 0 0 + 78x = 10 + -32 78x = 10 + -32 Combine like terms: 10 + -32 = -22 78x = -22 Divide each side by '78'. x = -0.2820512821 Simplifying x = -0.2820512821
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