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