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Simplifying 13x + 34 = 10x + 10 Reorder the terms: 34 + 13x = 10x + 10 Reorder the terms: 34 + 13x = 10 + 10x Solving 34 + 13x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 34 + 13x + -10x = 10 + 10x + -10x Combine like terms: 13x + -10x = 3x 34 + 3x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 34 + 3x = 10 + 0 34 + 3x = 10 Add '-34' to each side of the equation. 34 + -34 + 3x = 10 + -34 Combine like terms: 34 + -34 = 0 0 + 3x = 10 + -34 3x = 10 + -34 Combine like terms: 10 + -34 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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