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Simplifying 5x + -2 + 2x = 6x + 13 + -4x Reorder the terms: -2 + 5x + 2x = 6x + 13 + -4x Combine like terms: 5x + 2x = 7x -2 + 7x = 6x + 13 + -4x Reorder the terms: -2 + 7x = 13 + 6x + -4x Combine like terms: 6x + -4x = 2x -2 + 7x = 13 + 2x Solving -2 + 7x = 13 + 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 + 7x + -2x = 13 + 2x + -2x Combine like terms: 7x + -2x = 5x -2 + 5x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 5x = 13 + 0 -2 + 5x = 13 Add '2' to each side of the equation. -2 + 2 + 5x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 13 + 2 5x = 13 + 2 Combine like terms: 13 + 2 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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