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Simplifying -4x + -2 = 5x + 7 Reorder the terms: -2 + -4x = 5x + 7 Reorder the terms: -2 + -4x = 7 + 5x Solving -2 + -4x = 7 + 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. -2 + -4x + -5x = 7 + 5x + -5x Combine like terms: -4x + -5x = -9x -2 + -9x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -9x = 7 + 0 -2 + -9x = 7 Add '2' to each side of the equation. -2 + 2 + -9x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 7 + 2 -9x = 7 + 2 Combine like terms: 7 + 2 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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