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Simplifying 3x + 5(x + 1) = 61 Reorder the terms: 3x + 5(1 + x) = 61 3x + (1 * 5 + x * 5) = 61 3x + (5 + 5x) = 61 Reorder the terms: 5 + 3x + 5x = 61 Combine like terms: 3x + 5x = 8x 5 + 8x = 61 Solving 5 + 8x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8x = 61 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 61 + -5 8x = 61 + -5 Combine like terms: 61 + -5 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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