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Simplifying 2(6x + 5) = 2(7x + 2) Reorder the terms: 2(5 + 6x) = 2(7x + 2) (5 * 2 + 6x * 2) = 2(7x + 2) (10 + 12x) = 2(7x + 2) Reorder the terms: 10 + 12x = 2(2 + 7x) 10 + 12x = (2 * 2 + 7x * 2) 10 + 12x = (4 + 14x) Solving 10 + 12x = 4 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 10 + 12x + -14x = 4 + 14x + -14x Combine like terms: 12x + -14x = -2x 10 + -2x = 4 + 14x + -14x Combine like terms: 14x + -14x = 0 10 + -2x = 4 + 0 10 + -2x = 4 Add '-10' to each side of the equation. 10 + -10 + -2x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 4 + -10 -2x = 4 + -10 Combine like terms: 4 + -10 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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