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Simplifying (2x + -7) + -1(5x + 1) = 0 Reorder the terms: (-7 + 2x) + -1(5x + 1) = 0 Remove parenthesis around (-7 + 2x) -7 + 2x + -1(5x + 1) = 0 Reorder the terms: -7 + 2x + -1(1 + 5x) = 0 -7 + 2x + (1 * -1 + 5x * -1) = 0 -7 + 2x + (-1 + -5x) = 0 Reorder the terms: -7 + -1 + 2x + -5x = 0 Combine like terms: -7 + -1 = -8 -8 + 2x + -5x = 0 Combine like terms: 2x + -5x = -3x -8 + -3x = 0 Solving -8 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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