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Simplifying -4[4x + 7 + 7(x + 1)] = 4x + 6 Reorder the terms: -4[4x + 7 + 7(1 + x)] = 4x + 6 -4[4x + 7 + (1 * 7 + x * 7)] = 4x + 6 -4[4x + 7 + (7 + 7x)] = 4x + 6 Reorder the terms: -4[7 + 7 + 4x + 7x] = 4x + 6 Combine like terms: 7 + 7 = 14 -4[14 + 4x + 7x] = 4x + 6 Combine like terms: 4x + 7x = 11x -4[14 + 11x] = 4x + 6 [14 * -4 + 11x * -4] = 4x + 6 [-56 + -44x] = 4x + 6 Reorder the terms: -56 + -44x = 6 + 4x Solving -56 + -44x = 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. -56 + -44x + -4x = 6 + 4x + -4x Combine like terms: -44x + -4x = -48x -56 + -48x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -56 + -48x = 6 + 0 -56 + -48x = 6 Add '56' to each side of the equation. -56 + 56 + -48x = 6 + 56 Combine like terms: -56 + 56 = 0 0 + -48x = 6 + 56 -48x = 6 + 56 Combine like terms: 6 + 56 = 62 -48x = 62 Divide each side by '-48'. x = -1.291666667 Simplifying x = -1.291666667
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