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Simplifying (5x + -2) + -1(2x + 6) = 67 Reorder the terms: (-2 + 5x) + -1(2x + 6) = 67 Remove parenthesis around (-2 + 5x) -2 + 5x + -1(2x + 6) = 67 Reorder the terms: -2 + 5x + -1(6 + 2x) = 67 -2 + 5x + (6 * -1 + 2x * -1) = 67 -2 + 5x + (-6 + -2x) = 67 Reorder the terms: -2 + -6 + 5x + -2x = 67 Combine like terms: -2 + -6 = -8 -8 + 5x + -2x = 67 Combine like terms: 5x + -2x = 3x -8 + 3x = 67 Solving -8 + 3x = 67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3x = 67 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 67 + 8 3x = 67 + 8 Combine like terms: 67 + 8 = 75 3x = 75 Divide each side by '3'. x = 25 Simplifying x = 25
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