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Simplifying 48 + 0.13x = 53 + 0.11x Solving 48 + 0.13x = 53 + 0.11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.11x' to each side of the equation. 48 + 0.13x + -0.11x = 53 + 0.11x + -0.11x Combine like terms: 0.13x + -0.11x = 0.02x 48 + 0.02x = 53 + 0.11x + -0.11x Combine like terms: 0.11x + -0.11x = 0.00 48 + 0.02x = 53 + 0.00 48 + 0.02x = 53 Add '-48' to each side of the equation. 48 + -48 + 0.02x = 53 + -48 Combine like terms: 48 + -48 = 0 0 + 0.02x = 53 + -48 0.02x = 53 + -48 Combine like terms: 53 + -48 = 5 0.02x = 5 Divide each side by '0.02'. x = 250 Simplifying x = 250
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