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Simplifying -1[3x + (9x + 7)] = 6 + -1(3x + 9) Reorder the terms: -1[3x + (7 + 9x)] = 6 + -1(3x + 9) Remove parenthesis around (7 + 9x) -1[3x + 7 + 9x] = 6 + -1(3x + 9) Reorder the terms: -1[7 + 3x + 9x] = 6 + -1(3x + 9) Combine like terms: 3x + 9x = 12x -1[7 + 12x] = 6 + -1(3x + 9) [7 * -1 + 12x * -1] = 6 + -1(3x + 9) [-7 + -12x] = 6 + -1(3x + 9) Reorder the terms: -7 + -12x = 6 + -1(9 + 3x) -7 + -12x = 6 + (9 * -1 + 3x * -1) -7 + -12x = 6 + (-9 + -3x) Combine like terms: 6 + -9 = -3 -7 + -12x = -3 + -3x Solving -7 + -12x = -3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + -12x + 3x = -3 + -3x + 3x Combine like terms: -12x + 3x = -9x -7 + -9x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + -9x = -3 + 0 -7 + -9x = -3 Add '7' to each side of the equation. -7 + 7 + -9x = -3 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = -3 + 7 -9x = -3 + 7 Combine like terms: -3 + 7 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444
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