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Simplifying 8(1 + 5x) = 48 + 5x (1 * 8 + 5x * 8) = 48 + 5x (8 + 40x) = 48 + 5x Solving 8 + 40x = 48 + 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. 8 + 40x + -5x = 48 + 5x + -5x Combine like terms: 40x + -5x = 35x 8 + 35x = 48 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 35x = 48 + 0 8 + 35x = 48 Add '-8' to each side of the equation. 8 + -8 + 35x = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 35x = 48 + -8 35x = 48 + -8 Combine like terms: 48 + -8 = 40 35x = 40 Divide each side by '35'. x = 1.142857143 Simplifying x = 1.142857143
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