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Simplifying 10x + 9 = -15x + 34 Reorder the terms: 9 + 10x = -15x + 34 Reorder the terms: 9 + 10x = 34 + -15x Solving 9 + 10x = 34 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 9 + 10x + 15x = 34 + -15x + 15x Combine like terms: 10x + 15x = 25x 9 + 25x = 34 + -15x + 15x Combine like terms: -15x + 15x = 0 9 + 25x = 34 + 0 9 + 25x = 34 Add '-9' to each side of the equation. 9 + -9 + 25x = 34 + -9 Combine like terms: 9 + -9 = 0 0 + 25x = 34 + -9 25x = 34 + -9 Combine like terms: 34 + -9 = 25 25x = 25 Divide each side by '25'. x = 1 Simplifying x = 1
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