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Simplifying 2x + 14 + -34 = 4x + -11 + 4x + 4 Reorder the terms: 14 + -34 + 2x = 4x + -11 + 4x + 4 Combine like terms: 14 + -34 = -20 -20 + 2x = 4x + -11 + 4x + 4 Reorder the terms: -20 + 2x = -11 + 4 + 4x + 4x Combine like terms: -11 + 4 = -7 -20 + 2x = -7 + 4x + 4x Combine like terms: 4x + 4x = 8x -20 + 2x = -7 + 8x Solving -20 + 2x = -7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -20 + 2x + -8x = -7 + 8x + -8x Combine like terms: 2x + -8x = -6x -20 + -6x = -7 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + -6x = -7 + 0 -20 + -6x = -7 Add '20' to each side of the equation. -20 + 20 + -6x = -7 + 20 Combine like terms: -20 + 20 = 0 0 + -6x = -7 + 20 -6x = -7 + 20 Combine like terms: -7 + 20 = 13 -6x = 13 Divide each side by '-6'. x = -2.166666667 Simplifying x = -2.166666667
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