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Simplifying 25x + 7 = 10x + 52 Reorder the terms: 7 + 25x = 10x + 52 Reorder the terms: 7 + 25x = 52 + 10x Solving 7 + 25x = 52 + 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. 7 + 25x + -10x = 52 + 10x + -10x Combine like terms: 25x + -10x = 15x 7 + 15x = 52 + 10x + -10x Combine like terms: 10x + -10x = 0 7 + 15x = 52 + 0 7 + 15x = 52 Add '-7' to each side of the equation. 7 + -7 + 15x = 52 + -7 Combine like terms: 7 + -7 = 0 0 + 15x = 52 + -7 15x = 52 + -7 Combine like terms: 52 + -7 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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