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Simplifying 8(5x + -3) = 32x Reorder the terms: 8(-3 + 5x) = 32x (-3 * 8 + 5x * 8) = 32x (-24 + 40x) = 32x Solving -24 + 40x = 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -24 + 40x + -32x = 32x + -32x Combine like terms: 40x + -32x = 8x -24 + 8x = 32x + -32x Combine like terms: 32x + -32x = 0 -24 + 8x = 0 Add '24' to each side of the equation. -24 + 24 + 8x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 8x = 0 + 24 8x = 0 + 24 Combine like terms: 0 + 24 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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