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Simplifying 13x + 48 = 24x + 47 Reorder the terms: 48 + 13x = 24x + 47 Reorder the terms: 48 + 13x = 47 + 24x Solving 48 + 13x = 47 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 48 + 13x + -24x = 47 + 24x + -24x Combine like terms: 13x + -24x = -11x 48 + -11x = 47 + 24x + -24x Combine like terms: 24x + -24x = 0 48 + -11x = 47 + 0 48 + -11x = 47 Add '-48' to each side of the equation. 48 + -48 + -11x = 47 + -48 Combine like terms: 48 + -48 = 0 0 + -11x = 47 + -48 -11x = 47 + -48 Combine like terms: 47 + -48 = -1 -11x = -1 Divide each side by '-11'. x = 0.09090909091 Simplifying x = 0.09090909091
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