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Simplifying 3x + 4 + -1x + -6 = 2x + -34 + -4x Reorder the terms: 4 + -6 + 3x + -1x = 2x + -34 + -4x Combine like terms: 4 + -6 = -2 -2 + 3x + -1x = 2x + -34 + -4x Combine like terms: 3x + -1x = 2x -2 + 2x = 2x + -34 + -4x Reorder the terms: -2 + 2x = -34 + 2x + -4x Combine like terms: 2x + -4x = -2x -2 + 2x = -34 + -2x Solving -2 + 2x = -34 + -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. -2 + 2x + 2x = -34 + -2x + 2x Combine like terms: 2x + 2x = 4x -2 + 4x = -34 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 4x = -34 + 0 -2 + 4x = -34 Add '2' to each side of the equation. -2 + 2 + 4x = -34 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = -34 + 2 4x = -34 + 2 Combine like terms: -34 + 2 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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