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Simplifying 3x + -15 + -2 + 2x = 3 + -12 + 3x Reorder the terms: -15 + -2 + 3x + 2x = 3 + -12 + 3x Combine like terms: -15 + -2 = -17 -17 + 3x + 2x = 3 + -12 + 3x Combine like terms: 3x + 2x = 5x -17 + 5x = 3 + -12 + 3x Combine like terms: 3 + -12 = -9 -17 + 5x = -9 + 3x Solving -17 + 5x = -9 + 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 + 5x + -3x = -9 + 3x + -3x Combine like terms: 5x + -3x = 2x -17 + 2x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 2x = -9 + 0 -17 + 2x = -9 Add '17' to each side of the equation. -17 + 17 + 2x = -9 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = -9 + 17 2x = -9 + 17 Combine like terms: -9 + 17 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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