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Simplifying (-4x + -7) + -1(5x + 6) = 0 Reorder the terms: (-7 + -4x) + -1(5x + 6) = 0 Remove parenthesis around (-7 + -4x) -7 + -4x + -1(5x + 6) = 0 Reorder the terms: -7 + -4x + -1(6 + 5x) = 0 -7 + -4x + (6 * -1 + 5x * -1) = 0 -7 + -4x + (-6 + -5x) = 0 Reorder the terms: -7 + -6 + -4x + -5x = 0 Combine like terms: -7 + -6 = -13 -13 + -4x + -5x = 0 Combine like terms: -4x + -5x = -9x -13 + -9x = 0 Solving -13 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -9x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -9x = 0 + 13 -9x = 0 + 13 Combine like terms: 0 + 13 = 13 -9x = 13 Divide each side by '-9'. x = -1.444444444 Simplifying x = -1.444444444
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