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Simplifying 5(4x + -10) = 32 + 18x Reorder the terms: 5(-10 + 4x) = 32 + 18x (-10 * 5 + 4x * 5) = 32 + 18x (-50 + 20x) = 32 + 18x Solving -50 + 20x = 32 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -50 + 20x + -18x = 32 + 18x + -18x Combine like terms: 20x + -18x = 2x -50 + 2x = 32 + 18x + -18x Combine like terms: 18x + -18x = 0 -50 + 2x = 32 + 0 -50 + 2x = 32 Add '50' to each side of the equation. -50 + 50 + 2x = 32 + 50 Combine like terms: -50 + 50 = 0 0 + 2x = 32 + 50 2x = 32 + 50 Combine like terms: 32 + 50 = 82 2x = 82 Divide each side by '2'. x = 41 Simplifying x = 41
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