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Simplifying 0.95x + 0.5(12 + -1x) = 0.10(24) 0.95x + (12 * 0.5 + -1x * 0.5) = 0.10(24) 0.95x + (6 + -0.5x) = 0.10(24) Reorder the terms: 6 + 0.95x + -0.5x = 0.10(24) Combine like terms: 0.95x + -0.5x = 0.45x 6 + 0.45x = 0.10(24) Multiply 0.10 * 24 6 + 0.45x = 2.4 Solving 6 + 0.45x = 2.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 0.45x = 2.4 + -6 Combine like terms: 6 + -6 = 0 0 + 0.45x = 2.4 + -6 0.45x = 2.4 + -6 Combine like terms: 2.4 + -6 = -3.6 0.45x = -3.6 Divide each side by '0.45'. x = -8 Simplifying x = -8
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