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Simplifying -1[8x + (8x + 1)] = 4 + -1(7x + 3) Reorder the terms: -1[8x + (1 + 8x)] = 4 + -1(7x + 3) Remove parenthesis around (1 + 8x) -1[8x + 1 + 8x] = 4 + -1(7x + 3) Reorder the terms: -1[1 + 8x + 8x] = 4 + -1(7x + 3) Combine like terms: 8x + 8x = 16x -1[1 + 16x] = 4 + -1(7x + 3) [1 * -1 + 16x * -1] = 4 + -1(7x + 3) [-1 + -16x] = 4 + -1(7x + 3) Reorder the terms: -1 + -16x = 4 + -1(3 + 7x) -1 + -16x = 4 + (3 * -1 + 7x * -1) -1 + -16x = 4 + (-3 + -7x) Combine like terms: 4 + -3 = 1 -1 + -16x = 1 + -7x Solving -1 + -16x = 1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -1 + -16x + 7x = 1 + -7x + 7x Combine like terms: -16x + 7x = -9x -1 + -9x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 -1 + -9x = 1 + 0 -1 + -9x = 1 Add '1' to each side of the equation. -1 + 1 + -9x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 1 + 1 -9x = 1 + 1 Combine like terms: 1 + 1 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222
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