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Simplifying -1[3x + (6x + 7)] = 6 + -1(5x + 8) Reorder the terms: -1[3x + (7 + 6x)] = 6 + -1(5x + 8) Remove parenthesis around (7 + 6x) -1[3x + 7 + 6x] = 6 + -1(5x + 8) Reorder the terms: -1[7 + 3x + 6x] = 6 + -1(5x + 8) Combine like terms: 3x + 6x = 9x -1[7 + 9x] = 6 + -1(5x + 8) [7 * -1 + 9x * -1] = 6 + -1(5x + 8) [-7 + -9x] = 6 + -1(5x + 8) Reorder the terms: -7 + -9x = 6 + -1(8 + 5x) -7 + -9x = 6 + (8 * -1 + 5x * -1) -7 + -9x = 6 + (-8 + -5x) Combine like terms: 6 + -8 = -2 -7 + -9x = -2 + -5x Solving -7 + -9x = -2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -7 + -9x + 5x = -2 + -5x + 5x Combine like terms: -9x + 5x = -4x -7 + -4x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + -4x = -2 + 0 -7 + -4x = -2 Add '7' to each side of the equation. -7 + 7 + -4x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -2 + 7 -4x = -2 + 7 Combine like terms: -2 + 7 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25
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