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Simplifying 2x + 3x + -7 + 5 = 7x + 13 + -2 Reorder the terms: -7 + 5 + 2x + 3x = 7x + 13 + -2 Combine like terms: -7 + 5 = -2 -2 + 2x + 3x = 7x + 13 + -2 Combine like terms: 2x + 3x = 5x -2 + 5x = 7x + 13 + -2 Reorder the terms: -2 + 5x = 13 + -2 + 7x Combine like terms: 13 + -2 = 11 -2 + 5x = 11 + 7x Solving -2 + 5x = 11 + 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. -2 + 5x + -7x = 11 + 7x + -7x Combine like terms: 5x + -7x = -2x -2 + -2x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -2x = 11 + 0 -2 + -2x = 11 Add '2' to each side of the equation. -2 + 2 + -2x = 11 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 11 + 2 -2x = 11 + 2 Combine like terms: 11 + 2 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5
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