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Simplifying 7(1x + -2) = 5(1x + 2) Reorder the terms: 7(-2 + 1x) = 5(1x + 2) (-2 * 7 + 1x * 7) = 5(1x + 2) (-14 + 7x) = 5(1x + 2) Reorder the terms: -14 + 7x = 5(2 + 1x) -14 + 7x = (2 * 5 + 1x * 5) -14 + 7x = (10 + 5x) Solving -14 + 7x = 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. -14 + 7x + -5x = 10 + 5x + -5x Combine like terms: 7x + -5x = 2x -14 + 2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 2x = 10 + 0 -14 + 2x = 10 Add '14' to each side of the equation. -14 + 14 + 2x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 10 + 14 2x = 10 + 14 Combine like terms: 10 + 14 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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