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Simplifying 8(5x + -3) = 40 + 8x Reorder the terms: 8(-3 + 5x) = 40 + 8x (-3 * 8 + 5x * 8) = 40 + 8x (-24 + 40x) = 40 + 8x Solving -24 + 40x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24 + 40x + -8x = 40 + 8x + -8x Combine like terms: 40x + -8x = 32x -24 + 32x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 32x = 40 + 0 -24 + 32x = 40 Add '24' to each side of the equation. -24 + 24 + 32x = 40 + 24 Combine like terms: -24 + 24 = 0 0 + 32x = 40 + 24 32x = 40 + 24 Combine like terms: 40 + 24 = 64 32x = 64 Divide each side by '32'. x = 2 Simplifying x = 2
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