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Simplifying 7 + 14x + -5 = 8x + 34 + -2x Reorder the terms: 7 + -5 + 14x = 8x + 34 + -2x Combine like terms: 7 + -5 = 2 2 + 14x = 8x + 34 + -2x Reorder the terms: 2 + 14x = 34 + 8x + -2x Combine like terms: 8x + -2x = 6x 2 + 14x = 34 + 6x Solving 2 + 14x = 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. 2 + 14x + -6x = 34 + 6x + -6x Combine like terms: 14x + -6x = 8x 2 + 8x = 34 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 8x = 34 + 0 2 + 8x = 34 Add '-2' to each side of the equation. 2 + -2 + 8x = 34 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 34 + -2 8x = 34 + -2 Combine like terms: 34 + -2 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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