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Simplifying -6x + 7(-3x + -34) = 32 Reorder the terms: -6x + 7(-34 + -3x) = 32 -6x + (-34 * 7 + -3x * 7) = 32 -6x + (-238 + -21x) = 32 Reorder the terms: -238 + -6x + -21x = 32 Combine like terms: -6x + -21x = -27x -238 + -27x = 32 Solving -238 + -27x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '238' to each side of the equation. -238 + 238 + -27x = 32 + 238 Combine like terms: -238 + 238 = 0 0 + -27x = 32 + 238 -27x = 32 + 238 Combine like terms: 32 + 238 = 270 -27x = 270 Divide each side by '-27'. x = -10 Simplifying x = -10
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