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Simplifying -2[-6x + -1 + -4(x + 1)] = 7x + -3 Reorder the terms: -2[-6x + -1 + -4(1 + x)] = 7x + -3 -2[-6x + -1 + (1 * -4 + x * -4)] = 7x + -3 -2[-6x + -1 + (-4 + -4x)] = 7x + -3 Reorder the terms: -2[-1 + -4 + -6x + -4x] = 7x + -3 Combine like terms: -1 + -4 = -5 -2[-5 + -6x + -4x] = 7x + -3 Combine like terms: -6x + -4x = -10x -2[-5 + -10x] = 7x + -3 [-5 * -2 + -10x * -2] = 7x + -3 [10 + 20x] = 7x + -3 Reorder the terms: 10 + 20x = -3 + 7x Solving 10 + 20x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 20x + -7x = -3 + 7x + -7x Combine like terms: 20x + -7x = 13x 10 + 13x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 13x = -3 + 0 10 + 13x = -3 Add '-10' to each side of the equation. 10 + -10 + 13x = -3 + -10 Combine like terms: 10 + -10 = 0 0 + 13x = -3 + -10 13x = -3 + -10 Combine like terms: -3 + -10 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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