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Simplifying 68 = x + 6 + -1(3x + -2) Reorder the terms: 68 = x + 6 + -1(-2 + 3x) 68 = x + 6 + (-2 * -1 + 3x * -1) 68 = x + 6 + (2 + -3x) Reorder the terms: 68 = 6 + 2 + x + -3x Combine like terms: 6 + 2 = 8 68 = 8 + x + -3x Combine like terms: x + -3x = -2x 68 = 8 + -2x Solving 68 = 8 + -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. 68 + 2x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 68 + 2x = 8 + 0 68 + 2x = 8 Add '-68' to each side of the equation. 68 + -68 + 2x = 8 + -68 Combine like terms: 68 + -68 = 0 0 + 2x = 8 + -68 2x = 8 + -68 Combine like terms: 8 + -68 = -60 2x = -60 Divide each side by '2'. x = -30 Simplifying x = -30
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