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Simplifying -1[8x + (2x + 7)] = 1 + -1(9x + 3) Reorder the terms: -1[8x + (7 + 2x)] = 1 + -1(9x + 3) Remove parenthesis around (7 + 2x) -1[8x + 7 + 2x] = 1 + -1(9x + 3) Reorder the terms: -1[7 + 8x + 2x] = 1 + -1(9x + 3) Combine like terms: 8x + 2x = 10x -1[7 + 10x] = 1 + -1(9x + 3) [7 * -1 + 10x * -1] = 1 + -1(9x + 3) [-7 + -10x] = 1 + -1(9x + 3) Reorder the terms: -7 + -10x = 1 + -1(3 + 9x) -7 + -10x = 1 + (3 * -1 + 9x * -1) -7 + -10x = 1 + (-3 + -9x) Combine like terms: 1 + -3 = -2 -7 + -10x = -2 + -9x Solving -7 + -10x = -2 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -7 + -10x + 9x = -2 + -9x + 9x Combine like terms: -10x + 9x = -1x -7 + -1x = -2 + -9x + 9x Combine like terms: -9x + 9x = 0 -7 + -1x = -2 + 0 -7 + -1x = -2 Add '7' to each side of the equation. -7 + 7 + -1x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -2 + 7 -1x = -2 + 7 Combine like terms: -2 + 7 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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