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Simplifying (4x + -14) + -34 = -5x + (3x + -8) Reorder the terms: (-14 + 4x) + -34 = -5x + (3x + -8) Remove parenthesis around (-14 + 4x) -14 + 4x + -34 = -5x + (3x + -8) Reorder the terms: -14 + -34 + 4x = -5x + (3x + -8) Combine like terms: -14 + -34 = -48 -48 + 4x = -5x + (3x + -8) Reorder the terms: -48 + 4x = -5x + (-8 + 3x) Remove parenthesis around (-8 + 3x) -48 + 4x = -5x + -8 + 3x Reorder the terms: -48 + 4x = -8 + -5x + 3x Combine like terms: -5x + 3x = -2x -48 + 4x = -8 + -2x Solving -48 + 4x = -8 + -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 = -8 + -2x + 2x Combine like terms: 4x + 2x = 6x -48 + 6x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 -48 + 6x = -8 + 0 -48 + 6x = -8 Add '48' to each side of the equation. -48 + 48 + 6x = -8 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = -8 + 48 6x = -8 + 48 Combine like terms: -8 + 48 = 40 6x = 40 Divide each side by '6'. x = 6.666666667 Simplifying x = 6.666666667
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