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Simplifying 8x + 10 + 2x = 6x + 34 Reorder the terms: 10 + 8x + 2x = 6x + 34 Combine like terms: 8x + 2x = 10x 10 + 10x = 6x + 34 Reorder the terms: 10 + 10x = 34 + 6x Solving 10 + 10x = 34 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 10x + -6x = 34 + 6x + -6x Combine like terms: 10x + -6x = 4x 10 + 4x = 34 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 4x = 34 + 0 10 + 4x = 34 Add '-10' to each side of the equation. 10 + -10 + 4x = 34 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 34 + -10 4x = 34 + -10 Combine like terms: 34 + -10 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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