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Simplifying (4x + -7) + -1(6x + 5) = 0 Reorder the terms: (-7 + 4x) + -1(6x + 5) = 0 Remove parenthesis around (-7 + 4x) -7 + 4x + -1(6x + 5) = 0 Reorder the terms: -7 + 4x + -1(5 + 6x) = 0 -7 + 4x + (5 * -1 + 6x * -1) = 0 -7 + 4x + (-5 + -6x) = 0 Reorder the terms: -7 + -5 + 4x + -6x = 0 Combine like terms: -7 + -5 = -12 -12 + 4x + -6x = 0 Combine like terms: 4x + -6x = -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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