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Simplifying 32(1 + -1x) + -7(x + 4) = -44 (1 * 32 + -1x * 32) + -7(x + 4) = -44 (32 + -32x) + -7(x + 4) = -44 Reorder the terms: 32 + -32x + -7(4 + x) = -44 32 + -32x + (4 * -7 + x * -7) = -44 32 + -32x + (-28 + -7x) = -44 Reorder the terms: 32 + -28 + -32x + -7x = -44 Combine like terms: 32 + -28 = 4 4 + -32x + -7x = -44 Combine like terms: -32x + -7x = -39x 4 + -39x = -44 Solving 4 + -39x = -44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -39x = -44 + -4 Combine like terms: 4 + -4 = 0 0 + -39x = -44 + -4 -39x = -44 + -4 Combine like terms: -44 + -4 = -48 -39x = -48 Divide each side by '-39'. x = 1.230769231 Simplifying x = 1.230769231
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