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