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Simplifying -1[7x + (9x + 5)] = 2 + -1(8x + 1) Reorder the terms: -1[7x + (5 + 9x)] = 2 + -1(8x + 1) Remove parenthesis around (5 + 9x) -1[7x + 5 + 9x] = 2 + -1(8x + 1) Reorder the terms: -1[5 + 7x + 9x] = 2 + -1(8x + 1) Combine like terms: 7x + 9x = 16x -1[5 + 16x] = 2 + -1(8x + 1) [5 * -1 + 16x * -1] = 2 + -1(8x + 1) [-5 + -16x] = 2 + -1(8x + 1) Reorder the terms: -5 + -16x = 2 + -1(1 + 8x) -5 + -16x = 2 + (1 * -1 + 8x * -1) -5 + -16x = 2 + (-1 + -8x) Combine like terms: 2 + -1 = 1 -5 + -16x = 1 + -8x Solving -5 + -16x = 1 + -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. -5 + -16x + 8x = 1 + -8x + 8x Combine like terms: -16x + 8x = -8x -5 + -8x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + -8x = 1 + 0 -5 + -8x = 1 Add '5' to each side of the equation. -5 + 5 + -8x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 1 + 5 -8x = 1 + 5 Combine like terms: 1 + 5 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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