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Simplifying 6x + 34 + -5x = 6 + 5x + -4 Reorder the terms: 34 + 6x + -5x = 6 + 5x + -4 Combine like terms: 6x + -5x = 1x 34 + 1x = 6 + 5x + -4 Reorder the terms: 34 + 1x = 6 + -4 + 5x Combine like terms: 6 + -4 = 2 34 + 1x = 2 + 5x Solving 34 + 1x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 34 + 1x + -5x = 2 + 5x + -5x Combine like terms: 1x + -5x = -4x 34 + -4x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 34 + -4x = 2 + 0 34 + -4x = 2 Add '-34' to each side of the equation. 34 + -34 + -4x = 2 + -34 Combine like terms: 34 + -34 = 0 0 + -4x = 2 + -34 -4x = 2 + -34 Combine like terms: 2 + -34 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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