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Simplifying -4x + -42 = 11x + 8 + -5x Reorder the terms: -42 + -4x = 11x + 8 + -5x Reorder the terms: -42 + -4x = 8 + 11x + -5x Combine like terms: 11x + -5x = 6x -42 + -4x = 8 + 6x Solving -42 + -4x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -42 + -4x + -6x = 8 + 6x + -6x Combine like terms: -4x + -6x = -10x -42 + -10x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + -10x = 8 + 0 -42 + -10x = 8 Add '42' to each side of the equation. -42 + 42 + -10x = 8 + 42 Combine like terms: -42 + 42 = 0 0 + -10x = 8 + 42 -10x = 8 + 42 Combine like terms: 8 + 42 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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