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Simplifying 0.13x + 0.18x = 0.16(x + 50) Combine like terms: 0.13x + 0.18x = 0.31x 0.31x = 0.16(x + 50) Reorder the terms: 0.31x = 0.16(50 + x) 0.31x = (50 * 0.16 + x * 0.16) 0.31x = (8 + 0.16x) Solving 0.31x = 8 + 0.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.16x' to each side of the equation. 0.31x + -0.16x = 8 + 0.16x + -0.16x Combine like terms: 0.31x + -0.16x = 0.15x 0.15x = 8 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 0.15x = 8 + 0.00 0.15x = 8 Divide each side by '0.15'. x = 53.33333333 Simplifying x = 53.33333333
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