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Simplifying 52x + 4 = 57x + -46 Reorder the terms: 4 + 52x = 57x + -46 Reorder the terms: 4 + 52x = -46 + 57x Solving 4 + 52x = -46 + 57x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57x' to each side of the equation. 4 + 52x + -57x = -46 + 57x + -57x Combine like terms: 52x + -57x = -5x 4 + -5x = -46 + 57x + -57x Combine like terms: 57x + -57x = 0 4 + -5x = -46 + 0 4 + -5x = -46 Add '-4' to each side of the equation. 4 + -4 + -5x = -46 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -46 + -4 -5x = -46 + -4 Combine like terms: -46 + -4 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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