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Simplifying 11x + -2(4x + -7) = 32 Reorder the terms: 11x + -2(-7 + 4x) = 32 11x + (-7 * -2 + 4x * -2) = 32 11x + (14 + -8x) = 32 Reorder the terms: 14 + 11x + -8x = 32 Combine like terms: 11x + -8x = 3x 14 + 3x = 32 Solving 14 + 3x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 32 + -14 3x = 32 + -14 Combine like terms: 32 + -14 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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