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Simplifying (6x + -5) + -1(8x + 7) = 0 Reorder the terms: (-5 + 6x) + -1(8x + 7) = 0 Remove parenthesis around (-5 + 6x) -5 + 6x + -1(8x + 7) = 0 Reorder the terms: -5 + 6x + -1(7 + 8x) = 0 -5 + 6x + (7 * -1 + 8x * -1) = 0 -5 + 6x + (-7 + -8x) = 0 Reorder the terms: -5 + -7 + 6x + -8x = 0 Combine like terms: -5 + -7 = -12 -12 + 6x + -8x = 0 Combine like terms: 6x + -8x = -2x -12 + -2x = 0 Solving -12 + -2x = 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 + -2x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 0 + 12 -2x = 0 + 12 Combine like terms: 0 + 12 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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