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Simplifying 5x + -3 + 2x = 15 + 3x + 2 Reorder the terms: -3 + 5x + 2x = 15 + 3x + 2 Combine like terms: 5x + 2x = 7x -3 + 7x = 15 + 3x + 2 Reorder the terms: -3 + 7x = 15 + 2 + 3x Combine like terms: 15 + 2 = 17 -3 + 7x = 17 + 3x Solving -3 + 7x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 7x + -3x = 17 + 3x + -3x Combine like terms: 7x + -3x = 4x -3 + 4x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 4x = 17 + 0 -3 + 4x = 17 Add '3' to each side of the equation. -3 + 3 + 4x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 17 + 3 4x = 17 + 3 Combine like terms: 17 + 3 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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