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Simplifying -1[x + -1(6x + 7)] = 7 + -1(9x + 3) Reorder the terms: -1[x + -1(7 + 6x)] = 7 + -1(9x + 3) -1[x + (7 * -1 + 6x * -1)] = 7 + -1(9x + 3) -1[x + (-7 + -6x)] = 7 + -1(9x + 3) Reorder the terms: -1[-7 + x + -6x] = 7 + -1(9x + 3) Combine like terms: x + -6x = -5x -1[-7 + -5x] = 7 + -1(9x + 3) [-7 * -1 + -5x * -1] = 7 + -1(9x + 3) [7 + 5x] = 7 + -1(9x + 3) Reorder the terms: 7 + 5x = 7 + -1(3 + 9x) 7 + 5x = 7 + (3 * -1 + 9x * -1) 7 + 5x = 7 + (-3 + -9x) Combine like terms: 7 + -3 = 4 7 + 5x = 4 + -9x Solving 7 + 5x = 4 + -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 + 5x + 9x = 4 + -9x + 9x Combine like terms: 5x + 9x = 14x 7 + 14x = 4 + -9x + 9x Combine like terms: -9x + 9x = 0 7 + 14x = 4 + 0 7 + 14x = 4 Add '-7' to each side of the equation. 7 + -7 + 14x = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = 4 + -7 14x = 4 + -7 Combine like terms: 4 + -7 = -3 14x = -3 Divide each side by '14'. x = -0.2142857143 Simplifying x = -0.2142857143
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