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Simplifying 5 + 2x + -9 = 7x + -4 + -5 Reorder the terms: 5 + -9 + 2x = 7x + -4 + -5 Combine like terms: 5 + -9 = -4 -4 + 2x = 7x + -4 + -5 Reorder the terms: -4 + 2x = -4 + -5 + 7x Combine like terms: -4 + -5 = -9 -4 + 2x = -9 + 7x Solving -4 + 2x = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 2x + -7x = -9 + 7x + -7x Combine like terms: 2x + -7x = -5x -4 + -5x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -5x = -9 + 0 -4 + -5x = -9 Add '4' to each side of the equation. -4 + 4 + -5x = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = -9 + 4 -5x = -9 + 4 Combine like terms: -9 + 4 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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