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Simplifying 3(1 + 8x) = 35 + 8x (1 * 3 + 8x * 3) = 35 + 8x (3 + 24x) = 35 + 8x Solving 3 + 24x = 35 + 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. 3 + 24x + -8x = 35 + 8x + -8x Combine like terms: 24x + -8x = 16x 3 + 16x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + 16x = 35 + 0 3 + 16x = 35 Add '-3' to each side of the equation. 3 + -3 + 16x = 35 + -3 Combine like terms: 3 + -3 = 0 0 + 16x = 35 + -3 16x = 35 + -3 Combine like terms: 35 + -3 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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