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Simplifying 6 + -6(x + 8) = -4x + -1(x + -2) Reorder the terms: 6 + -6(8 + x) = -4x + -1(x + -2) 6 + (8 * -6 + x * -6) = -4x + -1(x + -2) 6 + (-48 + -6x) = -4x + -1(x + -2) Combine like terms: 6 + -48 = -42 -42 + -6x = -4x + -1(x + -2) Reorder the terms: -42 + -6x = -4x + -1(-2 + x) -42 + -6x = -4x + (-2 * -1 + x * -1) -42 + -6x = -4x + (2 + -1x) Reorder the terms: -42 + -6x = 2 + -4x + -1x Combine like terms: -4x + -1x = -5x -42 + -6x = 2 + -5x Solving -42 + -6x = 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. -42 + -6x + 5x = 2 + -5x + 5x Combine like terms: -6x + 5x = -1x -42 + -1x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 -42 + -1x = 2 + 0 -42 + -1x = 2 Add '42' to each side of the equation. -42 + 42 + -1x = 2 + 42 Combine like terms: -42 + 42 = 0 0 + -1x = 2 + 42 -1x = 2 + 42 Combine like terms: 2 + 42 = 44 -1x = 44 Divide each side by '-1'. x = -44 Simplifying x = -44
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