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Simplifying 7x + -1(3x + 2) = 2(3 + x) Reorder the terms: 7x + -1(2 + 3x) = 2(3 + x) 7x + (2 * -1 + 3x * -1) = 2(3 + x) 7x + (-2 + -3x) = 2(3 + x) Reorder the terms: -2 + 7x + -3x = 2(3 + x) Combine like terms: 7x + -3x = 4x -2 + 4x = 2(3 + x) -2 + 4x = (3 * 2 + x * 2) -2 + 4x = (6 + 2x) Solving -2 + 4x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 4x + -2x = 6 + 2x + -2x Combine like terms: 4x + -2x = 2x -2 + 2x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 2x = 6 + 0 -2 + 2x = 6 Add '2' to each side of the equation. -2 + 2 + 2x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 6 + 2 2x = 6 + 2 Combine like terms: 6 + 2 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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