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Simplifying (-3x + -7) + -1(4x + 7) = 0 Reorder the terms: (-7 + -3x) + -1(4x + 7) = 0 Remove parenthesis around (-7 + -3x) -7 + -3x + -1(4x + 7) = 0 Reorder the terms: -7 + -3x + -1(7 + 4x) = 0 -7 + -3x + (7 * -1 + 4x * -1) = 0 -7 + -3x + (-7 + -4x) = 0 Reorder the terms: -7 + -7 + -3x + -4x = 0 Combine like terms: -7 + -7 = -14 -14 + -3x + -4x = 0 Combine like terms: -3x + -4x = -7x -14 + -7x = 0 Solving -14 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -7x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -7x = 0 + 14 -7x = 0 + 14 Combine like terms: 0 + 14 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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