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Simplifying (-3x + -7) + -1(5x + 2) = 0 Reorder the terms: (-7 + -3x) + -1(5x + 2) = 0 Remove parenthesis around (-7 + -3x) -7 + -3x + -1(5x + 2) = 0 Reorder the terms: -7 + -3x + -1(2 + 5x) = 0 -7 + -3x + (2 * -1 + 5x * -1) = 0 -7 + -3x + (-2 + -5x) = 0 Reorder the terms: -7 + -2 + -3x + -5x = 0 Combine like terms: -7 + -2 = -9 -9 + -3x + -5x = 0 Combine like terms: -3x + -5x = -8x -9 + -8x = 0 Solving -9 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -8x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = 0 + 9 -8x = 0 + 9 Combine like terms: 0 + 9 = 9 -8x = 9 Divide each side by '-8'. x = -1.125 Simplifying x = -1.125
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