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Simplifying 53 + -6x + -7 = 4x + 24 + x Reorder the terms: 53 + -7 + -6x = 4x + 24 + x Combine like terms: 53 + -7 = 46 46 + -6x = 4x + 24 + x Reorder the terms: 46 + -6x = 24 + 4x + x Combine like terms: 4x + x = 5x 46 + -6x = 24 + 5x Solving 46 + -6x = 24 + 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. 46 + -6x + -5x = 24 + 5x + -5x Combine like terms: -6x + -5x = -11x 46 + -11x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 46 + -11x = 24 + 0 46 + -11x = 24 Add '-46' to each side of the equation. 46 + -46 + -11x = 24 + -46 Combine like terms: 46 + -46 = 0 0 + -11x = 24 + -46 -11x = 24 + -46 Combine like terms: 24 + -46 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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