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Simplifying 7(2x + -1) + 6(x + 2) = 65 Reorder the terms: 7(-1 + 2x) + 6(x + 2) = 65 (-1 * 7 + 2x * 7) + 6(x + 2) = 65 (-7 + 14x) + 6(x + 2) = 65 Reorder the terms: -7 + 14x + 6(2 + x) = 65 -7 + 14x + (2 * 6 + x * 6) = 65 -7 + 14x + (12 + 6x) = 65 Reorder the terms: -7 + 12 + 14x + 6x = 65 Combine like terms: -7 + 12 = 5 5 + 14x + 6x = 65 Combine like terms: 14x + 6x = 20x 5 + 20x = 65 Solving 5 + 20x = 65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 20x = 65 + -5 Combine like terms: 5 + -5 = 0 0 + 20x = 65 + -5 20x = 65 + -5 Combine like terms: 65 + -5 = 60 20x = 60 Divide each side by '20'. x = 3 Simplifying x = 3
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