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Simplifying 8(3 + 5x) + -2x = 100 (3 * 8 + 5x * 8) + -2x = 100 (24 + 40x) + -2x = 100 Combine like terms: 40x + -2x = 38x 24 + 38x = 100 Solving 24 + 38x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 38x = 100 + -24 Combine like terms: 24 + -24 = 0 0 + 38x = 100 + -24 38x = 100 + -24 Combine like terms: 100 + -24 = 76 38x = 76 Divide each side by '38'. x = 2 Simplifying x = 2
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