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Simplifying (3x + -5) + -1(4x + 7) = 0 Reorder the terms: (-5 + 3x) + -1(4x + 7) = 0 Remove parenthesis around (-5 + 3x) -5 + 3x + -1(4x + 7) = 0 Reorder the terms: -5 + 3x + -1(7 + 4x) = 0 -5 + 3x + (7 * -1 + 4x * -1) = 0 -5 + 3x + (-7 + -4x) = 0 Reorder the terms: -5 + -7 + 3x + -4x = 0 Combine like terms: -5 + -7 = -12 -12 + 3x + -4x = 0 Combine like terms: 3x + -4x = -1x -12 + -1x = 0 Solving -12 + -1x = 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 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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