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Simplifying 3x + -7[7(X + 4) + -1(X + -3)] + -2 = 0 Reorder the terms: 3x + -7[7(4 + X) + -1(X + -3)] + -2 = 0 3x + -7[(4 * 7 + X * 7) + -1(X + -3)] + -2 = 0 3x + -7[(28 + 7X) + -1(X + -3)] + -2 = 0 Reorder the terms: 3x + -7[28 + 7X + -1(-3 + X)] + -2 = 0 3x + -7[28 + 7X + (-3 * -1 + X * -1)] + -2 = 0 3x + -7[28 + 7X + (3 + -1X)] + -2 = 0 Reorder the terms: 3x + -7[28 + 3 + 7X + -1X] + -2 = 0 Combine like terms: 28 + 3 = 31 3x + -7[31 + 7X + -1X] + -2 = 0 Combine like terms: 7X + -1X = 6X 3x + -7[31 + 6X] + -2 = 0 3x + [31 * -7 + 6X * -7] + -2 = 0 3x + [-217 + -42X] + -2 = 0 Reorder the terms: -217 + -2 + -42X + 3x = 0 Combine like terms: -217 + -2 = -219 -219 + -42X + 3x = 0 Solving -219 + -42X + 3x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '219' to each side of the equation. -219 + -42X + 219 + 3x = 0 + 219 Reorder the terms: -219 + 219 + -42X + 3x = 0 + 219 Combine like terms: -219 + 219 = 0 0 + -42X + 3x = 0 + 219 -42X + 3x = 0 + 219 Combine like terms: 0 + 219 = 219 -42X + 3x = 219 Add '-3x' to each side of the equation. -42X + 3x + -3x = 219 + -3x Combine like terms: 3x + -3x = 0 -42X + 0 = 219 + -3x -42X = 219 + -3x Divide each side by '-42'. X = -5.214285714 + 0.07142857143x Simplifying X = -5.214285714 + 0.07142857143x
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