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