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Simplifying 7x + -3x + 9 + -12x = -15 + 4x + -17 Reorder the terms: 9 + 7x + -3x + -12x = -15 + 4x + -17 Combine like terms: 7x + -3x = 4x 9 + 4x + -12x = -15 + 4x + -17 Combine like terms: 4x + -12x = -8x 9 + -8x = -15 + 4x + -17 Reorder the terms: 9 + -8x = -15 + -17 + 4x Combine like terms: -15 + -17 = -32 9 + -8x = -32 + 4x Solving 9 + -8x = -32 + 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. 9 + -8x + -4x = -32 + 4x + -4x Combine like terms: -8x + -4x = -12x 9 + -12x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -12x = -32 + 0 9 + -12x = -32 Add '-9' to each side of the equation. 9 + -9 + -12x = -32 + -9 Combine like terms: 9 + -9 = 0 0 + -12x = -32 + -9 -12x = -32 + -9 Combine like terms: -32 + -9 = -41 -12x = -41 Divide each side by '-12'. x = 3.416666667 Simplifying x = 3.416666667
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