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Simplifying 4(5 + -7x) = -32 + -2x (5 * 4 + -7x * 4) = -32 + -2x (20 + -28x) = -32 + -2x Solving 20 + -28x = -32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 20 + -28x + 2x = -32 + -2x + 2x Combine like terms: -28x + 2x = -26x 20 + -26x = -32 + -2x + 2x Combine like terms: -2x + 2x = 0 20 + -26x = -32 + 0 20 + -26x = -32 Add '-20' to each side of the equation. 20 + -20 + -26x = -32 + -20 Combine like terms: 20 + -20 = 0 0 + -26x = -32 + -20 -26x = -32 + -20 Combine like terms: -32 + -20 = -52 -26x = -52 Divide each side by '-26'. x = 2 Simplifying x = 2
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