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Simplifying 10 + 13x = 24x + 5 Reorder the terms: 10 + 13x = 5 + 24x Solving 10 + 13x = 5 + 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. 10 + 13x + -24x = 5 + 24x + -24x Combine like terms: 13x + -24x = -11x 10 + -11x = 5 + 24x + -24x Combine like terms: 24x + -24x = 0 10 + -11x = 5 + 0 10 + -11x = 5 Add '-10' to each side of the equation. 10 + -10 + -11x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 5 + -10 -11x = 5 + -10 Combine like terms: 5 + -10 = -5 -11x = -5 Divide each side by '-11'. x = 0.4545454545 Simplifying x = 0.4545454545
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