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Simplifying 5x + -9 + 2x + -8 = 10 + 3x + -3 Reorder the terms: -9 + -8 + 5x + 2x = 10 + 3x + -3 Combine like terms: -9 + -8 = -17 -17 + 5x + 2x = 10 + 3x + -3 Combine like terms: 5x + 2x = 7x -17 + 7x = 10 + 3x + -3 Reorder the terms: -17 + 7x = 10 + -3 + 3x Combine like terms: 10 + -3 = 7 -17 + 7x = 7 + 3x Solving -17 + 7x = 7 + 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. -17 + 7x + -3x = 7 + 3x + -3x Combine like terms: 7x + -3x = 4x -17 + 4x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 4x = 7 + 0 -17 + 4x = 7 Add '17' to each side of the equation. -17 + 17 + 4x = 7 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = 7 + 17 4x = 7 + 17 Combine like terms: 7 + 17 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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