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Simplifying (3x + -14) + -1(-4x + 5) = 0 Reorder the terms: (-14 + 3x) + -1(-4x + 5) = 0 Remove parenthesis around (-14 + 3x) -14 + 3x + -1(-4x + 5) = 0 Reorder the terms: -14 + 3x + -1(5 + -4x) = 0 -14 + 3x + (5 * -1 + -4x * -1) = 0 -14 + 3x + (-5 + 4x) = 0 Reorder the terms: -14 + -5 + 3x + 4x = 0 Combine like terms: -14 + -5 = -19 -19 + 3x + 4x = 0 Combine like terms: 3x + 4x = 7x -19 + 7x = 0 Solving -19 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 7x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 7x = 0 + 19 7x = 0 + 19 Combine like terms: 0 + 19 = 19 7x = 19 Divide each side by '7'. x = 2.714285714 Simplifying x = 2.714285714
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