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Simplifying -1[6x + (4x + 4)] = 8 + -1(9x + 2) Reorder the terms: -1[6x + (4 + 4x)] = 8 + -1(9x + 2) Remove parenthesis around (4 + 4x) -1[6x + 4 + 4x] = 8 + -1(9x + 2) Reorder the terms: -1[4 + 6x + 4x] = 8 + -1(9x + 2) Combine like terms: 6x + 4x = 10x -1[4 + 10x] = 8 + -1(9x + 2) [4 * -1 + 10x * -1] = 8 + -1(9x + 2) [-4 + -10x] = 8 + -1(9x + 2) Reorder the terms: -4 + -10x = 8 + -1(2 + 9x) -4 + -10x = 8 + (2 * -1 + 9x * -1) -4 + -10x = 8 + (-2 + -9x) Combine like terms: 8 + -2 = 6 -4 + -10x = 6 + -9x Solving -4 + -10x = 6 + -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. -4 + -10x + 9x = 6 + -9x + 9x Combine like terms: -10x + 9x = -1x -4 + -1x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 -4 + -1x = 6 + 0 -4 + -1x = 6 Add '4' to each side of the equation. -4 + 4 + -1x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 6 + 4 -1x = 6 + 4 Combine like terms: 6 + 4 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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