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Simplifying 3x + -14 + 2(x + -9) = -26 + -32x Reorder the terms: 3x + -14 + 2(-9 + x) = -26 + -32x 3x + -14 + (-9 * 2 + x * 2) = -26 + -32x 3x + -14 + (-18 + 2x) = -26 + -32x Reorder the terms: -14 + -18 + 3x + 2x = -26 + -32x Combine like terms: -14 + -18 = -32 -32 + 3x + 2x = -26 + -32x Combine like terms: 3x + 2x = 5x -32 + 5x = -26 + -32x Solving -32 + 5x = -26 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -32 + 5x + 32x = -26 + -32x + 32x Combine like terms: 5x + 32x = 37x -32 + 37x = -26 + -32x + 32x Combine like terms: -32x + 32x = 0 -32 + 37x = -26 + 0 -32 + 37x = -26 Add '32' to each side of the equation. -32 + 32 + 37x = -26 + 32 Combine like terms: -32 + 32 = 0 0 + 37x = -26 + 32 37x = -26 + 32 Combine like terms: -26 + 32 = 6 37x = 6 Divide each side by '37'. x = 0.1621621622 Simplifying x = 0.1621621622
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