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Simplifying -1[4x + (7x + 7)] = 4 + -1(4x + 1) Reorder the terms: -1[4x + (7 + 7x)] = 4 + -1(4x + 1) Remove parenthesis around (7 + 7x) -1[4x + 7 + 7x] = 4 + -1(4x + 1) Reorder the terms: -1[7 + 4x + 7x] = 4 + -1(4x + 1) Combine like terms: 4x + 7x = 11x -1[7 + 11x] = 4 + -1(4x + 1) [7 * -1 + 11x * -1] = 4 + -1(4x + 1) [-7 + -11x] = 4 + -1(4x + 1) Reorder the terms: -7 + -11x = 4 + -1(1 + 4x) -7 + -11x = 4 + (1 * -1 + 4x * -1) -7 + -11x = 4 + (-1 + -4x) Combine like terms: 4 + -1 = 3 -7 + -11x = 3 + -4x Solving -7 + -11x = 3 + -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. -7 + -11x + 4x = 3 + -4x + 4x Combine like terms: -11x + 4x = -7x -7 + -7x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + -7x = 3 + 0 -7 + -7x = 3 Add '7' to each side of the equation. -7 + 7 + -7x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = 3 + 7 -7x = 3 + 7 Combine like terms: 3 + 7 = 10 -7x = 10 Divide each side by '-7'. x = -1.428571429 Simplifying x = -1.428571429
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