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Simplifying (4x + -14) + -34 = -5x + -1(5 + -3x) Reorder the terms: (-14 + 4x) + -34 = -5x + -1(5 + -3x) Remove parenthesis around (-14 + 4x) -14 + 4x + -34 = -5x + -1(5 + -3x) Reorder the terms: -14 + -34 + 4x = -5x + -1(5 + -3x) Combine like terms: -14 + -34 = -48 -48 + 4x = -5x + -1(5 + -3x) -48 + 4x = -5x + (5 * -1 + -3x * -1) -48 + 4x = -5x + (-5 + 3x) Reorder the terms: -48 + 4x = -5 + -5x + 3x Combine like terms: -5x + 3x = -2x -48 + 4x = -5 + -2x Solving -48 + 4x = -5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -48 + 4x + 2x = -5 + -2x + 2x Combine like terms: 4x + 2x = 6x -48 + 6x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 -48 + 6x = -5 + 0 -48 + 6x = -5 Add '48' to each side of the equation. -48 + 48 + 6x = -5 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = -5 + 48 6x = -5 + 48 Combine like terms: -5 + 48 = 43 6x = 43 Divide each side by '6'. x = 7.166666667 Simplifying x = 7.166666667
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