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Simplifying 3(2x + 1) = -5x + 47 Reorder the terms: 3(1 + 2x) = -5x + 47 (1 * 3 + 2x * 3) = -5x + 47 (3 + 6x) = -5x + 47 Reorder the terms: 3 + 6x = 47 + -5x Solving 3 + 6x = 47 + -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. 3 + 6x + 5x = 47 + -5x + 5x Combine like terms: 6x + 5x = 11x 3 + 11x = 47 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 11x = 47 + 0 3 + 11x = 47 Add '-3' to each side of the equation. 3 + -3 + 11x = 47 + -3 Combine like terms: 3 + -3 = 0 0 + 11x = 47 + -3 11x = 47 + -3 Combine like terms: 47 + -3 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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