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Simplifying -5(x + -8) = -7x + 32 Reorder the terms: -5(-8 + x) = -7x + 32 (-8 * -5 + x * -5) = -7x + 32 (40 + -5x) = -7x + 32 Reorder the terms: 40 + -5x = 32 + -7x Solving 40 + -5x = 32 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 40 + -5x + 7x = 32 + -7x + 7x Combine like terms: -5x + 7x = 2x 40 + 2x = 32 + -7x + 7x Combine like terms: -7x + 7x = 0 40 + 2x = 32 + 0 40 + 2x = 32 Add '-40' to each side of the equation. 40 + -40 + 2x = 32 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 32 + -40 2x = 32 + -40 Combine like terms: 32 + -40 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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