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Simplifying 8(5x + -3) = 5x + 11 Reorder the terms: 8(-3 + 5x) = 5x + 11 (-3 * 8 + 5x * 8) = 5x + 11 (-24 + 40x) = 5x + 11 Reorder the terms: -24 + 40x = 11 + 5x Solving -24 + 40x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 40x + -5x = 11 + 5x + -5x Combine like terms: 40x + -5x = 35x -24 + 35x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + 35x = 11 + 0 -24 + 35x = 11 Add '24' to each side of the equation. -24 + 24 + 35x = 11 + 24 Combine like terms: -24 + 24 = 0 0 + 35x = 11 + 24 35x = 11 + 24 Combine like terms: 11 + 24 = 35 35x = 35 Divide each side by '35'. x = 1 Simplifying x = 1
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