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Simplifying -1[4x + (3x + 7)] = 6 + -1(3x + 2) Reorder the terms: -1[4x + (7 + 3x)] = 6 + -1(3x + 2) Remove parenthesis around (7 + 3x) -1[4x + 7 + 3x] = 6 + -1(3x + 2) Reorder the terms: -1[7 + 4x + 3x] = 6 + -1(3x + 2) Combine like terms: 4x + 3x = 7x -1[7 + 7x] = 6 + -1(3x + 2) [7 * -1 + 7x * -1] = 6 + -1(3x + 2) [-7 + -7x] = 6 + -1(3x + 2) Reorder the terms: -7 + -7x = 6 + -1(2 + 3x) -7 + -7x = 6 + (2 * -1 + 3x * -1) -7 + -7x = 6 + (-2 + -3x) Combine like terms: 6 + -2 = 4 -7 + -7x = 4 + -3x Solving -7 + -7x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -7 + -7x + 3x = 4 + -3x + 3x Combine like terms: -7x + 3x = -4x -7 + -4x = 4 + -3x + 3x Combine like terms: -3x + 3x = 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 = 11 -4x = 11 Divide each side by '-4'. x = -2.75 Simplifying x = -2.75
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