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Simplifying 3(x + 1) + 5x = 2x + 39 Reorder the terms: 3(1 + x) + 5x = 2x + 39 (1 * 3 + x * 3) + 5x = 2x + 39 (3 + 3x) + 5x = 2x + 39 Combine like terms: 3x + 5x = 8x 3 + 8x = 2x + 39 Reorder the terms: 3 + 8x = 39 + 2x Solving 3 + 8x = 39 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 8x + -2x = 39 + 2x + -2x Combine like terms: 8x + -2x = 6x 3 + 6x = 39 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 6x = 39 + 0 3 + 6x = 39 Add '-3' to each side of the equation. 3 + -3 + 6x = 39 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 39 + -3 6x = 39 + -3 Combine like terms: 39 + -3 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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