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Simplifying x + 6 = -5x + 66 Reorder the terms: 6 + x = -5x + 66 Reorder the terms: 6 + x = 66 + -5x Solving 6 + x = 66 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + x + 5x = 66 + -5x + 5x Combine like terms: x + 5x = 6x 6 + 6x = 66 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 6x = 66 + 0 6 + 6x = 66 Add '-6' to each side of the equation. 6 + -6 + 6x = 66 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 66 + -6 6x = 66 + -6 Combine like terms: 66 + -6 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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