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Simplifying 5(8x + -3) + -32x = 41 Reorder the terms: 5(-3 + 8x) + -32x = 41 (-3 * 5 + 8x * 5) + -32x = 41 (-15 + 40x) + -32x = 41 Combine like terms: 40x + -32x = 8x -15 + 8x = 41 Solving -15 + 8x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 8x = 41 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 41 + 15 8x = 41 + 15 Combine like terms: 41 + 15 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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