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Simplifying 5(5x + 8) = -32 + 7x Reorder the terms: 5(8 + 5x) = -32 + 7x (8 * 5 + 5x * 5) = -32 + 7x (40 + 25x) = -32 + 7x Solving 40 + 25x = -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 + 25x + -7x = -32 + 7x + -7x Combine like terms: 25x + -7x = 18x 40 + 18x = -32 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + 18x = -32 + 0 40 + 18x = -32 Add '-40' to each side of the equation. 40 + -40 + 18x = -32 + -40 Combine like terms: 40 + -40 = 0 0 + 18x = -32 + -40 18x = -32 + -40 Combine like terms: -32 + -40 = -72 18x = -72 Divide each side by '18'. x = -4 Simplifying x = -4
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