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Simplifying (-5x + 6) + -1(-2x + 7) = 0 Reorder the terms: (6 + -5x) + -1(-2x + 7) = 0 Remove parenthesis around (6 + -5x) 6 + -5x + -1(-2x + 7) = 0 Reorder the terms: 6 + -5x + -1(7 + -2x) = 0 6 + -5x + (7 * -1 + -2x * -1) = 0 6 + -5x + (-7 + 2x) = 0 Reorder the terms: 6 + -7 + -5x + 2x = 0 Combine like terms: 6 + -7 = -1 -1 + -5x + 2x = 0 Combine like terms: -5x + 2x = -3x -1 + -3x = 0 Solving -1 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333
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