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Simplifying (3x + -2) + -1(x + 6) = 68 Reorder the terms: (-2 + 3x) + -1(x + 6) = 68 Remove parenthesis around (-2 + 3x) -2 + 3x + -1(x + 6) = 68 Reorder the terms: -2 + 3x + -1(6 + x) = 68 -2 + 3x + (6 * -1 + x * -1) = 68 -2 + 3x + (-6 + -1x) = 68 Reorder the terms: -2 + -6 + 3x + -1x = 68 Combine like terms: -2 + -6 = -8 -8 + 3x + -1x = 68 Combine like terms: 3x + -1x = 2x -8 + 2x = 68 Solving -8 + 2x = 68 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 + 2x = 68 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 68 + 8 2x = 68 + 8 Combine like terms: 68 + 8 = 76 2x = 76 Divide each side by '2'. x = 38 Simplifying x = 38
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