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Simplifying -4(x + -2) = -8k + -2(5x + -4) Reorder the terms: -4(-2 + x) = -8k + -2(5x + -4) (-2 * -4 + x * -4) = -8k + -2(5x + -4) (8 + -4x) = -8k + -2(5x + -4) Reorder the terms: 8 + -4x = -8k + -2(-4 + 5x) 8 + -4x = -8k + (-4 * -2 + 5x * -2) 8 + -4x = -8k + (8 + -10x) Reorder the terms: 8 + -4x = 8 + -8k + -10x Add '-8' to each side of the equation. 8 + -8 + -4x = 8 + -8k + -8 + -10x Combine like terms: 8 + -8 = 0 0 + -4x = 8 + -8k + -8 + -10x -4x = 8 + -8k + -8 + -10x Reorder the terms: -4x = 8 + -8 + -8k + -10x Combine like terms: 8 + -8 = 0 -4x = 0 + -8k + -10x -4x = -8k + -10x Solving -4x = -8k + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -4x + 10x = -8k + -10x + 10x Combine like terms: -4x + 10x = 6x 6x = -8k + -10x + 10x Combine like terms: -10x + 10x = 0 6x = -8k + 0 6x = -8k Divide each side by '6'. x = -1.333333333k Simplifying x = -1.333333333k
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