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Simplifying 0.70x + 0.05(2 + -1x) = 0.10(-64) 0.70x + (2 * 0.05 + -1x * 0.05) = 0.10(-64) 0.70x + (0.1 + -0.05x) = 0.10(-64) Reorder the terms: 0.1 + 0.70x + -0.05x = 0.10(-64) Combine like terms: 0.70x + -0.05x = 0.65x 0.1 + 0.65x = 0.10(-64) Multiply 0.10 * -64 0.1 + 0.65x = -6.4 Solving 0.1 + 0.65x = -6.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.65x = -6.4 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.65x = -6.4 + -0.1 0.65x = -6.4 + -0.1 Combine like terms: -6.4 + -0.1 = -6.5 0.65x = -6.5 Divide each side by '0.65'. x = -10 Simplifying x = -10
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