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Simplifying -1[5x + (7x + 3)] = 6 + -1(3x + 2) Reorder the terms: -1[5x + (3 + 7x)] = 6 + -1(3x + 2) Remove parenthesis around (3 + 7x) -1[5x + 3 + 7x] = 6 + -1(3x + 2) Reorder the terms: -1[3 + 5x + 7x] = 6 + -1(3x + 2) Combine like terms: 5x + 7x = 12x -1[3 + 12x] = 6 + -1(3x + 2) [3 * -1 + 12x * -1] = 6 + -1(3x + 2) [-3 + -12x] = 6 + -1(3x + 2) Reorder the terms: -3 + -12x = 6 + -1(2 + 3x) -3 + -12x = 6 + (2 * -1 + 3x * -1) -3 + -12x = 6 + (-2 + -3x) Combine like terms: 6 + -2 = 4 -3 + -12x = 4 + -3x Solving -3 + -12x = 4 + -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. -3 + -12x + 3x = 4 + -3x + 3x Combine like terms: -12x + 3x = -9x -3 + -9x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + -9x = 4 + 0 -3 + -9x = 4 Add '3' to each side of the equation. -3 + 3 + -9x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = 4 + 3 -9x = 4 + 3 Combine like terms: 4 + 3 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778
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