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Simplifying -1[4x + (7x + 8)] = 4 + -1(8x + 6) Reorder the terms: -1[4x + (8 + 7x)] = 4 + -1(8x + 6) Remove parenthesis around (8 + 7x) -1[4x + 8 + 7x] = 4 + -1(8x + 6) Reorder the terms: -1[8 + 4x + 7x] = 4 + -1(8x + 6) Combine like terms: 4x + 7x = 11x -1[8 + 11x] = 4 + -1(8x + 6) [8 * -1 + 11x * -1] = 4 + -1(8x + 6) [-8 + -11x] = 4 + -1(8x + 6) Reorder the terms: -8 + -11x = 4 + -1(6 + 8x) -8 + -11x = 4 + (6 * -1 + 8x * -1) -8 + -11x = 4 + (-6 + -8x) Combine like terms: 4 + -6 = -2 -8 + -11x = -2 + -8x Solving -8 + -11x = -2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + -11x + 8x = -2 + -8x + 8x Combine like terms: -11x + 8x = -3x -8 + -3x = -2 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + -3x = -2 + 0 -8 + -3x = -2 Add '8' to each side of the equation. -8 + 8 + -3x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = -2 + 8 -3x = -2 + 8 Combine like terms: -2 + 8 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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