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Simplifying 6(8 + -1) = 1(3x + -2) Combine like terms: 8 + -1 = 7 6(7) = 1(3x + -2) Multiply 6 * 7 42 = 1(3x + -2) Reorder the terms: 42 = 1(-2 + 3x) 42 = (-2 * 1 + 3x * 1) 42 = (-2 + 3x) Solving 42 = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 42 + -3x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + -3x = -2 + 0 42 + -3x = -2 Add '-42' to each side of the equation. 42 + -42 + -3x = -2 + -42 Combine like terms: 42 + -42 = 0 0 + -3x = -2 + -42 -3x = -2 + -42 Combine like terms: -2 + -42 = -44 -3x = -44 Divide each side by '-3'. x = 14.66666667 Simplifying x = 14.66666667
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