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Simplifying x + 1 = 6x + 46 Reorder the terms: 1 + x = 6x + 46 Reorder the terms: 1 + x = 46 + 6x Solving 1 + x = 46 + 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. 1 + x + -6x = 46 + 6x + -6x Combine like terms: x + -6x = -5x 1 + -5x = 46 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -5x = 46 + 0 1 + -5x = 46 Add '-1' to each side of the equation. 1 + -1 + -5x = 46 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 46 + -1 -5x = 46 + -1 Combine like terms: 46 + -1 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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