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Simplifying -1[7x + (6x + 7)] = 4 + -1(9x + 8) Reorder the terms: -1[7x + (7 + 6x)] = 4 + -1(9x + 8) Remove parenthesis around (7 + 6x) -1[7x + 7 + 6x] = 4 + -1(9x + 8) Reorder the terms: -1[7 + 7x + 6x] = 4 + -1(9x + 8) Combine like terms: 7x + 6x = 13x -1[7 + 13x] = 4 + -1(9x + 8) [7 * -1 + 13x * -1] = 4 + -1(9x + 8) [-7 + -13x] = 4 + -1(9x + 8) Reorder the terms: -7 + -13x = 4 + -1(8 + 9x) -7 + -13x = 4 + (8 * -1 + 9x * -1) -7 + -13x = 4 + (-8 + -9x) Combine like terms: 4 + -8 = -4 -7 + -13x = -4 + -9x Solving -7 + -13x = -4 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -7 + -13x + 9x = -4 + -9x + 9x Combine like terms: -13x + 9x = -4x -7 + -4x = -4 + -9x + 9x Combine like terms: -9x + 9x = 0 -7 + -4x = -4 + 0 -7 + -4x = -4 Add '7' to each side of the equation. -7 + 7 + -4x = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -4 + 7 -4x = -4 + 7 Combine like terms: -4 + 7 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75
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