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Simplifying 0.90x + 8 = (16 + x)(0.65) Reorder the terms: 8 + 0.90x = (16 + x)(0.65) Reorder the terms for easier multiplication: 8 + 0.90x = 0.65(16 + x) 8 + 0.90x = (16 * 0.65 + x * 0.65) 8 + 0.90x = (10.4 + 0.65x) Solving 8 + 0.90x = 10.4 + 0.65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.65x' to each side of the equation. 8 + 0.90x + -0.65x = 10.4 + 0.65x + -0.65x Combine like terms: 0.90x + -0.65x = 0.25x 8 + 0.25x = 10.4 + 0.65x + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 8 + 0.25x = 10.4 + 0.00 8 + 0.25x = 10.4 Add '-8' to each side of the equation. 8 + -8 + 0.25x = 10.4 + -8 Combine like terms: 8 + -8 = 0 0 + 0.25x = 10.4 + -8 0.25x = 10.4 + -8 Combine like terms: 10.4 + -8 = 2.4 0.25x = 2.4 Divide each side by '0.25'. x = 9.6 Simplifying x = 9.6
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