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Simplifying 0.65x + 0.05(18 + -1X) = 0.10(117) 0.65x + (18 * 0.05 + -1X * 0.05) = 0.10(117) 0.65x + (0.9 + -0.05X) = 0.10(117) Reorder the terms: 0.9 + -0.05X + 0.65x = 0.10(117) Multiply 0.10 * 117 0.9 + -0.05X + 0.65x = 11.7 Solving 0.9 + -0.05X + 0.65x = 11.7 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.05X + -0.9 + 0.65x = 11.7 + -0.9 Reorder the terms: 0.9 + -0.9 + -0.05X + 0.65x = 11.7 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.05X + 0.65x = 11.7 + -0.9 -0.05X + 0.65x = 11.7 + -0.9 Combine like terms: 11.7 + -0.9 = 10.8 -0.05X + 0.65x = 10.8 Add '-0.65x' to each side of the equation. -0.05X + 0.65x + -0.65x = 10.8 + -0.65x Combine like terms: 0.65x + -0.65x = 0.00 -0.05X + 0.00 = 10.8 + -0.65x -0.05X = 10.8 + -0.65x Divide each side by '-0.05'. X = -216 + 13x Simplifying X = -216 + 13x
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