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Simplifying 5x + -8x + 2 = 5x + 34 Reorder the terms: 2 + 5x + -8x = 5x + 34 Combine like terms: 5x + -8x = -3x 2 + -3x = 5x + 34 Reorder the terms: 2 + -3x = 34 + 5x Solving 2 + -3x = 34 + 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. 2 + -3x + -5x = 34 + 5x + -5x Combine like terms: -3x + -5x = -8x 2 + -8x = 34 + 5x + -5x Combine like terms: 5x + -5x = 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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