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Simplifying 3(2x + 5) = 7x + 26 + -2x Reorder the terms: 3(5 + 2x) = 7x + 26 + -2x (5 * 3 + 2x * 3) = 7x + 26 + -2x (15 + 6x) = 7x + 26 + -2x Reorder the terms: 15 + 6x = 26 + 7x + -2x Combine like terms: 7x + -2x = 5x 15 + 6x = 26 + 5x Solving 15 + 6x = 26 + 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. 15 + 6x + -5x = 26 + 5x + -5x Combine like terms: 6x + -5x = 1x 15 + 1x = 26 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 1x = 26 + 0 15 + 1x = 26 Add '-15' to each side of the equation. 15 + -15 + 1x = 26 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 26 + -15 1x = 26 + -15 Combine like terms: 26 + -15 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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