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Simplifying 3x + 26 = 5(x + 2) Reorder the terms: 26 + 3x = 5(x + 2) Reorder the terms: 26 + 3x = 5(2 + x) 26 + 3x = (2 * 5 + x * 5) 26 + 3x = (10 + 5x) Solving 26 + 3x = 10 + 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. 26 + 3x + -5x = 10 + 5x + -5x Combine like terms: 3x + -5x = -2x 26 + -2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 26 + -2x = 10 + 0 26 + -2x = 10 Add '-26' to each side of the equation. 26 + -26 + -2x = 10 + -26 Combine like terms: 26 + -26 = 0 0 + -2x = 10 + -26 -2x = 10 + -26 Combine like terms: 10 + -26 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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