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Simplifying 0.20x + 0.92 * 10 = 0.65(x + 10) Multiply 0.92 * 10 0.20x + 9.2 = 0.65(x + 10) Reorder the terms: 9.2 + 0.20x = 0.65(x + 10) Reorder the terms: 9.2 + 0.20x = 0.65(10 + x) 9.2 + 0.20x = (10 * 0.65 + x * 0.65) 9.2 + 0.20x = (6.5 + 0.65x) Solving 9.2 + 0.20x = 6.5 + 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. 9.2 + 0.20x + -0.65x = 6.5 + 0.65x + -0.65x Combine like terms: 0.20x + -0.65x = -0.45x 9.2 + -0.45x = 6.5 + 0.65x + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 9.2 + -0.45x = 6.5 + 0.00 9.2 + -0.45x = 6.5 Add '-9.2' to each side of the equation. 9.2 + -9.2 + -0.45x = 6.5 + -9.2 Combine like terms: 9.2 + -9.2 = 0.0 0.0 + -0.45x = 6.5 + -9.2 -0.45x = 6.5 + -9.2 Combine like terms: 6.5 + -9.2 = -2.7 -0.45x = -2.7 Divide each side by '-0.45'. x = 6 Simplifying x = 6
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