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Simplifying -1[5x + (3x + 8)] = 2 + -1(7x + 4) Reorder the terms: -1[5x + (8 + 3x)] = 2 + -1(7x + 4) Remove parenthesis around (8 + 3x) -1[5x + 8 + 3x] = 2 + -1(7x + 4) Reorder the terms: -1[8 + 5x + 3x] = 2 + -1(7x + 4) Combine like terms: 5x + 3x = 8x -1[8 + 8x] = 2 + -1(7x + 4) [8 * -1 + 8x * -1] = 2 + -1(7x + 4) [-8 + -8x] = 2 + -1(7x + 4) Reorder the terms: -8 + -8x = 2 + -1(4 + 7x) -8 + -8x = 2 + (4 * -1 + 7x * -1) -8 + -8x = 2 + (-4 + -7x) Combine like terms: 2 + -4 = -2 -8 + -8x = -2 + -7x Solving -8 + -8x = -2 + -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. -8 + -8x + 7x = -2 + -7x + 7x Combine like terms: -8x + 7x = -1x -8 + -1x = -2 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + -1x = -2 + 0 -8 + -1x = -2 Add '8' to each side of the equation. -8 + 8 + -1x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = -2 + 8 -1x = -2 + 8 Combine like terms: -2 + 8 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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