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Simplifying 2x + 7x + -1 = 5x + -3x + 13 Reorder the terms: -1 + 2x + 7x = 5x + -3x + 13 Combine like terms: 2x + 7x = 9x -1 + 9x = 5x + -3x + 13 Reorder the terms: -1 + 9x = 13 + 5x + -3x Combine like terms: 5x + -3x = 2x -1 + 9x = 13 + 2x Solving -1 + 9x = 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. -1 + 9x + -2x = 13 + 2x + -2x Combine like terms: 9x + -2x = 7x -1 + 7x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 7x = 13 + 0 -1 + 7x = 13 Add '1' to each side of the equation. -1 + 1 + 7x = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 13 + 1 7x = 13 + 1 Combine like terms: 13 + 1 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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