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Simplifying -1[5x + (7x + 9)] = 5 + -1(4x + 1) Reorder the terms: -1[5x + (9 + 7x)] = 5 + -1(4x + 1) Remove parenthesis around (9 + 7x) -1[5x + 9 + 7x] = 5 + -1(4x + 1) Reorder the terms: -1[9 + 5x + 7x] = 5 + -1(4x + 1) Combine like terms: 5x + 7x = 12x -1[9 + 12x] = 5 + -1(4x + 1) [9 * -1 + 12x * -1] = 5 + -1(4x + 1) [-9 + -12x] = 5 + -1(4x + 1) Reorder the terms: -9 + -12x = 5 + -1(1 + 4x) -9 + -12x = 5 + (1 * -1 + 4x * -1) -9 + -12x = 5 + (-1 + -4x) Combine like terms: 5 + -1 = 4 -9 + -12x = 4 + -4x Solving -9 + -12x = 4 + -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. -9 + -12x + 4x = 4 + -4x + 4x Combine like terms: -12x + 4x = -8x -9 + -8x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + -8x = 4 + 0 -9 + -8x = 4 Add '9' to each side of the equation. -9 + 9 + -8x = 4 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = 4 + 9 -8x = 4 + 9 Combine like terms: 4 + 9 = 13 -8x = 13 Divide each side by '-8'. x = -1.625 Simplifying x = -1.625
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