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Simplifying -2x + -43 = 5x + 27 Reorder the terms: -43 + -2x = 5x + 27 Reorder the terms: -43 + -2x = 27 + 5x Solving -43 + -2x = 27 + 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. -43 + -2x + -5x = 27 + 5x + -5x Combine like terms: -2x + -5x = -7x -43 + -7x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 -43 + -7x = 27 + 0 -43 + -7x = 27 Add '43' to each side of the equation. -43 + 43 + -7x = 27 + 43 Combine like terms: -43 + 43 = 0 0 + -7x = 27 + 43 -7x = 27 + 43 Combine like terms: 27 + 43 = 70 -7x = 70 Divide each side by '-7'. x = -10 Simplifying x = -10
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