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Simplifying (2x + -6) + -1(5x + 1) = 0 Reorder the terms: (-6 + 2x) + -1(5x + 1) = 0 Remove parenthesis around (-6 + 2x) -6 + 2x + -1(5x + 1) = 0 Reorder the terms: -6 + 2x + -1(1 + 5x) = 0 -6 + 2x + (1 * -1 + 5x * -1) = 0 -6 + 2x + (-1 + -5x) = 0 Reorder the terms: -6 + -1 + 2x + -5x = 0 Combine like terms: -6 + -1 = -7 -7 + 2x + -5x = 0 Combine like terms: 2x + -5x = -3x -7 + -3x = 0 Solving -7 + -3x = 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 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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