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Simplifying 2x + 39 = 5(x + 6) Reorder the terms: 39 + 2x = 5(x + 6) Reorder the terms: 39 + 2x = 5(6 + x) 39 + 2x = (6 * 5 + x * 5) 39 + 2x = (30 + 5x) Solving 39 + 2x = 30 + 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. 39 + 2x + -5x = 30 + 5x + -5x Combine like terms: 2x + -5x = -3x 39 + -3x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 39 + -3x = 30 + 0 39 + -3x = 30 Add '-39' to each side of the equation. 39 + -39 + -3x = 30 + -39 Combine like terms: 39 + -39 = 0 0 + -3x = 30 + -39 -3x = 30 + -39 Combine like terms: 30 + -39 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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