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Simplifying 7x + 1 = 28 + -4x + 24 Reorder the terms: 1 + 7x = 28 + -4x + 24 Reorder the terms: 1 + 7x = 28 + 24 + -4x Combine like terms: 28 + 24 = 52 1 + 7x = 52 + -4x Solving 1 + 7x = 52 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + 7x + 4x = 52 + -4x + 4x Combine like terms: 7x + 4x = 11x 1 + 11x = 52 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 11x = 52 + 0 1 + 11x = 52 Add '-1' to each side of the equation. 1 + -1 + 11x = 52 + -1 Combine like terms: 1 + -1 = 0 0 + 11x = 52 + -1 11x = 52 + -1 Combine like terms: 52 + -1 = 51 11x = 51 Divide each side by '11'. x = 4.636363636 Simplifying x = 4.636363636
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