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Simplifying -1[3x + (7x + 4)] = 9 + -1(7x + 9) Reorder the terms: -1[3x + (4 + 7x)] = 9 + -1(7x + 9) Remove parenthesis around (4 + 7x) -1[3x + 4 + 7x] = 9 + -1(7x + 9) Reorder the terms: -1[4 + 3x + 7x] = 9 + -1(7x + 9) Combine like terms: 3x + 7x = 10x -1[4 + 10x] = 9 + -1(7x + 9) [4 * -1 + 10x * -1] = 9 + -1(7x + 9) [-4 + -10x] = 9 + -1(7x + 9) Reorder the terms: -4 + -10x = 9 + -1(9 + 7x) -4 + -10x = 9 + (9 * -1 + 7x * -1) -4 + -10x = 9 + (-9 + -7x) Combine like terms: 9 + -9 = 0 -4 + -10x = 0 + -7x -4 + -10x = -7x Solving -4 + -10x = -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. -4 + -10x + 7x = -7x + 7x Combine like terms: -10x + 7x = -3x -4 + -3x = -7x + 7x Combine like terms: -7x + 7x = 0 -4 + -3x = 0 Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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