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Simplifying -2x + -6 = 5x + 43 Reorder the terms: -6 + -2x = 5x + 43 Reorder the terms: -6 + -2x = 43 + 5x Solving -6 + -2x = 43 + 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. -6 + -2x + -5x = 43 + 5x + -5x Combine like terms: -2x + -5x = -7x -6 + -7x = 43 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -7x = 43 + 0 -6 + -7x = 43 Add '6' to each side of the equation. -6 + 6 + -7x = 43 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 43 + 6 -7x = 43 + 6 Combine like terms: 43 + 6 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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