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Simplifying 52 + 10x = 15x + 12 Reorder the terms: 52 + 10x = 12 + 15x Solving 52 + 10x = 12 + 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. 52 + 10x + -15x = 12 + 15x + -15x Combine like terms: 10x + -15x = -5x 52 + -5x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 52 + -5x = 12 + 0 52 + -5x = 12 Add '-52' to each side of the equation. 52 + -52 + -5x = 12 + -52 Combine like terms: 52 + -52 = 0 0 + -5x = 12 + -52 -5x = 12 + -52 Combine like terms: 12 + -52 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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