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Simplifying 2x + -5 + 3x = 4 + 7x + 13 Reorder the terms: -5 + 2x + 3x = 4 + 7x + 13 Combine like terms: 2x + 3x = 5x -5 + 5x = 4 + 7x + 13 Reorder the terms: -5 + 5x = 4 + 13 + 7x Combine like terms: 4 + 13 = 17 -5 + 5x = 17 + 7x Solving -5 + 5x = 17 + 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. -5 + 5x + -7x = 17 + 7x + -7x Combine like terms: 5x + -7x = -2x -5 + -2x = 17 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -2x = 17 + 0 -5 + -2x = 17 Add '5' to each side of the equation. -5 + 5 + -2x = 17 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 17 + 5 -2x = 17 + 5 Combine like terms: 17 + 5 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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