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Simplifying 55(x + 1) = 48x Reorder the terms: 55(1 + x) = 48x (1 * 55 + x * 55) = 48x (55 + 55x) = 48x Solving 55 + 55x = 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 55 + 55x + -48x = 48x + -48x Combine like terms: 55x + -48x = 7x 55 + 7x = 48x + -48x Combine like terms: 48x + -48x = 0 55 + 7x = 0 Add '-55' to each side of the equation. 55 + -55 + 7x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 7x = 0 + -55 7x = 0 + -55 Combine like terms: 0 + -55 = -55 7x = -55 Divide each side by '7'. x = -7.857142857 Simplifying x = -7.857142857
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