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Simplifying 5x + -8x + 10 = 5x + 34 Reorder the terms: 10 + 5x + -8x = 5x + 34 Combine like terms: 5x + -8x = -3x 10 + -3x = 5x + 34 Reorder the terms: 10 + -3x = 34 + 5x Solving 10 + -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. 10 + -3x + -5x = 34 + 5x + -5x Combine like terms: -3x + -5x = -8x 10 + -8x = 34 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -8x = 34 + 0 10 + -8x = 34 Add '-10' to each side of the equation. 10 + -10 + -8x = 34 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 34 + -10 -8x = 34 + -10 Combine like terms: 34 + -10 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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