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Simplifying 15x + 30 = 10x + 40 Reorder the terms: 30 + 15x = 10x + 40 Reorder the terms: 30 + 15x = 40 + 10x Solving 30 + 15x = 40 + 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. 30 + 15x + -10x = 40 + 10x + -10x Combine like terms: 15x + -10x = 5x 30 + 5x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 30 + 5x = 40 + 0 30 + 5x = 40 Add '-30' to each side of the equation. 30 + -30 + 5x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 40 + -30 5x = 40 + -30 Combine like terms: 40 + -30 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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