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Simplifying 7x + -1(2x) + (3x + -2) = 6x + 50 Remove parenthesis around (2x) 7x + -1 * 2x + (3x + -2) = 6x + 50 Multiply -1 * 2 7x + -2x + (3x + -2) = 6x + 50 Reorder the terms: 7x + -2x + (-2 + 3x) = 6x + 50 Remove parenthesis around (-2 + 3x) 7x + -2x + -2 + 3x = 6x + 50 Reorder the terms: -2 + 7x + -2x + 3x = 6x + 50 Combine like terms: 7x + -2x = 5x -2 + 5x + 3x = 6x + 50 Combine like terms: 5x + 3x = 8x -2 + 8x = 6x + 50 Reorder the terms: -2 + 8x = 50 + 6x Solving -2 + 8x = 50 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 8x + -6x = 50 + 6x + -6x Combine like terms: 8x + -6x = 2x -2 + 2x = 50 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 2x = 50 + 0 -2 + 2x = 50 Add '2' to each side of the equation. -2 + 2 + 2x = 50 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 50 + 2 2x = 50 + 2 Combine like terms: 50 + 2 = 52 2x = 52 Divide each side by '2'. x = 26 Simplifying x = 26
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