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Simplifying (7x + -2) + -1(2x + 8) = 3x + 14 Reorder the terms: (-2 + 7x) + -1(2x + 8) = 3x + 14 Remove parenthesis around (-2 + 7x) -2 + 7x + -1(2x + 8) = 3x + 14 Reorder the terms: -2 + 7x + -1(8 + 2x) = 3x + 14 -2 + 7x + (8 * -1 + 2x * -1) = 3x + 14 -2 + 7x + (-8 + -2x) = 3x + 14 Reorder the terms: -2 + -8 + 7x + -2x = 3x + 14 Combine like terms: -2 + -8 = -10 -10 + 7x + -2x = 3x + 14 Combine like terms: 7x + -2x = 5x -10 + 5x = 3x + 14 Reorder the terms: -10 + 5x = 14 + 3x Solving -10 + 5x = 14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 5x + -3x = 14 + 3x + -3x Combine like terms: 5x + -3x = 2x -10 + 2x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 2x = 14 + 0 -10 + 2x = 14 Add '10' to each side of the equation. -10 + 10 + 2x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 14 + 10 2x = 14 + 10 Combine like terms: 14 + 10 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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