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Simplifying -4[3x + -3 + -7(x + 1)] = 4x + 6 Reorder the terms: -4[3x + -3 + -7(1 + x)] = 4x + 6 -4[3x + -3 + (1 * -7 + x * -7)] = 4x + 6 -4[3x + -3 + (-7 + -7x)] = 4x + 6 Reorder the terms: -4[-3 + -7 + 3x + -7x] = 4x + 6 Combine like terms: -3 + -7 = -10 -4[-10 + 3x + -7x] = 4x + 6 Combine like terms: 3x + -7x = -4x -4[-10 + -4x] = 4x + 6 [-10 * -4 + -4x * -4] = 4x + 6 [40 + 16x] = 4x + 6 Reorder the terms: 40 + 16x = 6 + 4x Solving 40 + 16x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 40 + 16x + -4x = 6 + 4x + -4x Combine like terms: 16x + -4x = 12x 40 + 12x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + 12x = 6 + 0 40 + 12x = 6 Add '-40' to each side of the equation. 40 + -40 + 12x = 6 + -40 Combine like terms: 40 + -40 = 0 0 + 12x = 6 + -40 12x = 6 + -40 Combine like terms: 6 + -40 = -34 12x = -34 Divide each side by '12'. x = -2.833333333 Simplifying x = -2.833333333
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