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Simplifying 3x + 6x + -17 = 4x + -12 Reorder the terms: -17 + 3x + 6x = 4x + -12 Combine like terms: 3x + 6x = 9x -17 + 9x = 4x + -12 Reorder the terms: -17 + 9x = -12 + 4x Solving -17 + 9x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -17 + 9x + -4x = -12 + 4x + -4x Combine like terms: 9x + -4x = 5x -17 + 5x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 5x = -12 + 0 -17 + 5x = -12 Add '17' to each side of the equation. -17 + 17 + 5x = -12 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = -12 + 17 5x = -12 + 17 Combine like terms: -12 + 17 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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