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Simplifying 3x + 4(2x + 5) = 31 Reorder the terms: 3x + 4(5 + 2x) = 31 3x + (5 * 4 + 2x * 4) = 31 3x + (20 + 8x) = 31 Reorder the terms: 20 + 3x + 8x = 31 Combine like terms: 3x + 8x = 11x 20 + 11x = 31 Solving 20 + 11x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 11x = 31 + -20 Combine like terms: 20 + -20 = 0 0 + 11x = 31 + -20 11x = 31 + -20 Combine like terms: 31 + -20 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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