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Simplifying (6x + -2) + -1(3x + -7) = 0 Reorder the terms: (-2 + 6x) + -1(3x + -7) = 0 Remove parenthesis around (-2 + 6x) -2 + 6x + -1(3x + -7) = 0 Reorder the terms: -2 + 6x + -1(-7 + 3x) = 0 -2 + 6x + (-7 * -1 + 3x * -1) = 0 -2 + 6x + (7 + -3x) = 0 Reorder the terms: -2 + 7 + 6x + -3x = 0 Combine like terms: -2 + 7 = 5 5 + 6x + -3x = 0 Combine like terms: 6x + -3x = 3x 5 + 3x = 0 Solving 5 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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