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Simplifying 0.55x + 0.05(12 + -1x) = 0.10(-64) 0.55x + (12 * 0.05 + -1x * 0.05) = 0.10(-64) 0.55x + (0.6 + -0.05x) = 0.10(-64) Reorder the terms: 0.6 + 0.55x + -0.05x = 0.10(-64) Combine like terms: 0.55x + -0.05x = 0.5x 0.6 + 0.5x = 0.10(-64) Multiply 0.10 * -64 0.6 + 0.5x = -6.4 Solving 0.6 + 0.5x = -6.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.5x = -6.4 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.5x = -6.4 + -0.6 0.5x = -6.4 + -0.6 Combine like terms: -6.4 + -0.6 = -7 0.5x = -7 Divide each side by '0.5'. x = -14 Simplifying x = -14
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