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Simplifying -6x + 1 = 5x + 45 Reorder the terms: 1 + -6x = 5x + 45 Reorder the terms: 1 + -6x = 45 + 5x Solving 1 + -6x = 45 + 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. 1 + -6x + -5x = 45 + 5x + -5x Combine like terms: -6x + -5x = -11x 1 + -11x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -11x = 45 + 0 1 + -11x = 45 Add '-1' to each side of the equation. 1 + -1 + -11x = 45 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = 45 + -1 -11x = 45 + -1 Combine like terms: 45 + -1 = 44 -11x = 44 Divide each side by '-11'. x = -4 Simplifying x = -4
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