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Simplifying x + 2 = 6x + 52 Reorder the terms: 2 + x = 6x + 52 Reorder the terms: 2 + x = 52 + 6x Solving 2 + x = 52 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + x + -6x = 52 + 6x + -6x Combine like terms: x + -6x = -5x 2 + -5x = 52 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -5x = 52 + 0 2 + -5x = 52 Add '-2' to each side of the equation. 2 + -2 + -5x = 52 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 52 + -2 -5x = 52 + -2 Combine like terms: 52 + -2 = 50 -5x = 50 Divide each side by '-5'. x = -10 Simplifying x = -10
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