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Simplifying (5x + 7) + -1(4x + -7) = 0 Reorder the terms: (7 + 5x) + -1(4x + -7) = 0 Remove parenthesis around (7 + 5x) 7 + 5x + -1(4x + -7) = 0 Reorder the terms: 7 + 5x + -1(-7 + 4x) = 0 7 + 5x + (-7 * -1 + 4x * -1) = 0 7 + 5x + (7 + -4x) = 0 Reorder the terms: 7 + 7 + 5x + -4x = 0 Combine like terms: 7 + 7 = 14 14 + 5x + -4x = 0 Combine like terms: 5x + -4x = 1x 14 + 1x = 0 Solving 14 + 1x = 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 + 1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 0 + -14 1x = 0 + -14 Combine like terms: 0 + -14 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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