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Simplifying 12x + -32 = -1x + -14 + 10x Reorder the terms: -32 + 12x = -1x + -14 + 10x Reorder the terms: -32 + 12x = -14 + -1x + 10x Combine like terms: -1x + 10x = 9x -32 + 12x = -14 + 9x Solving -32 + 12x = -14 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -32 + 12x + -9x = -14 + 9x + -9x Combine like terms: 12x + -9x = 3x -32 + 3x = -14 + 9x + -9x Combine like terms: 9x + -9x = 0 -32 + 3x = -14 + 0 -32 + 3x = -14 Add '32' to each side of the equation. -32 + 32 + 3x = -14 + 32 Combine like terms: -32 + 32 = 0 0 + 3x = -14 + 32 3x = -14 + 32 Combine like terms: -14 + 32 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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