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