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Simplifying 3(5x + 1) = 10 + 3x Reorder the terms: 3(1 + 5x) = 10 + 3x (1 * 3 + 5x * 3) = 10 + 3x (3 + 15x) = 10 + 3x Solving 3 + 15x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + 15x + -3x = 10 + 3x + -3x Combine like terms: 15x + -3x = 12x 3 + 12x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 12x = 10 + 0 3 + 12x = 10 Add '-3' to each side of the equation. 3 + -3 + 12x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = 10 + -3 12x = 10 + -3 Combine like terms: 10 + -3 = 7 12x = 7 Divide each side by '12'. x = 0.5833333333 Simplifying x = 0.5833333333
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