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Simplifying -1[7x + (9x + 7)] = 9 + -1(4x + 6) Reorder the terms: -1[7x + (7 + 9x)] = 9 + -1(4x + 6) Remove parenthesis around (7 + 9x) -1[7x + 7 + 9x] = 9 + -1(4x + 6) Reorder the terms: -1[7 + 7x + 9x] = 9 + -1(4x + 6) Combine like terms: 7x + 9x = 16x -1[7 + 16x] = 9 + -1(4x + 6) [7 * -1 + 16x * -1] = 9 + -1(4x + 6) [-7 + -16x] = 9 + -1(4x + 6) Reorder the terms: -7 + -16x = 9 + -1(6 + 4x) -7 + -16x = 9 + (6 * -1 + 4x * -1) -7 + -16x = 9 + (-6 + -4x) Combine like terms: 9 + -6 = 3 -7 + -16x = 3 + -4x Solving -7 + -16x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -7 + -16x + 4x = 3 + -4x + 4x Combine like terms: -16x + 4x = -12x -7 + -12x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + -12x = 3 + 0 -7 + -12x = 3 Add '7' to each side of the equation. -7 + 7 + -12x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -12x = 3 + 7 -12x = 3 + 7 Combine like terms: 3 + 7 = 10 -12x = 10 Divide each side by '-12'. x = -0.8333333333 Simplifying x = -0.8333333333
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