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Simplifying (6x + -7) + -1(2x + 5) = 0 Reorder the terms: (-7 + 6x) + -1(2x + 5) = 0 Remove parenthesis around (-7 + 6x) -7 + 6x + -1(2x + 5) = 0 Reorder the terms: -7 + 6x + -1(5 + 2x) = 0 -7 + 6x + (5 * -1 + 2x * -1) = 0 -7 + 6x + (-5 + -2x) = 0 Reorder the terms: -7 + -5 + 6x + -2x = 0 Combine like terms: -7 + -5 = -12 -12 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x -12 + 4x = 0 Solving -12 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 0 + 12 4x = 0 + 12 Combine like terms: 0 + 12 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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