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Simplifying -1[7X + -1(3x + 2)] = -3 + -1[3(3x + -4) + -3x] Reorder the terms: -1[7X + -1(2 + 3x)] = -3 + -1[3(3x + -4) + -3x] -1[7X + (2 * -1 + 3x * -1)] = -3 + -1[3(3x + -4) + -3x] -1[7X + (-2 + -3x)] = -3 + -1[3(3x + -4) + -3x] Reorder the terms: -1[-2 + 7X + -3x] = -3 + -1[3(3x + -4) + -3x] [-2 * -1 + 7X * -1 + -3x * -1] = -3 + -1[3(3x + -4) + -3x] [2 + -7X + 3x] = -3 + -1[3(3x + -4) + -3x] Reorder the terms: 2 + -7X + 3x = -3 + -1[3(-4 + 3x) + -3x] 2 + -7X + 3x = -3 + -1[(-4 * 3 + 3x * 3) + -3x] 2 + -7X + 3x = -3 + -1[(-12 + 9x) + -3x] Combine like terms: 9x + -3x = 6x 2 + -7X + 3x = -3 + -1[-12 + 6x] 2 + -7X + 3x = -3 + [-12 * -1 + 6x * -1] 2 + -7X + 3x = -3 + [12 + -6x] Combine like terms: -3 + 12 = 9 2 + -7X + 3x = 9 + -6x Solving 2 + -7X + 3x = 9 + -6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -7X + -2 + 3x = 9 + -2 + -6x Reorder the terms: 2 + -2 + -7X + 3x = 9 + -2 + -6x Combine like terms: 2 + -2 = 0 0 + -7X + 3x = 9 + -2 + -6x -7X + 3x = 9 + -2 + -6x Combine like terms: 9 + -2 = 7 -7X + 3x = 7 + -6x Add '-3x' to each side of the equation. -7X + 3x + -3x = 7 + -6x + -3x Combine like terms: 3x + -3x = 0 -7X + 0 = 7 + -6x + -3x -7X = 7 + -6x + -3x Combine like terms: -6x + -3x = -9x -7X = 7 + -9x Divide each side by '-7'. X = -1 + 1.285714286x Simplifying X = -1 + 1.285714286x
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