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Simplifying -0.45x + 0.05(8 + -1x) = 0.10(-36) -0.45x + (8 * 0.05 + -1x * 0.05) = 0.10(-36) -0.45x + (0.4 + -0.05x) = 0.10(-36) Reorder the terms: 0.4 + -0.45x + -0.05x = 0.10(-36) Combine like terms: -0.45x + -0.05x = -0.5x 0.4 + -0.5x = 0.10(-36) Multiply 0.10 * -36 0.4 + -0.5x = -3.6 Solving 0.4 + -0.5x = -3.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.5x = -3.6 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.5x = -3.6 + -0.4 -0.5x = -3.6 + -0.4 Combine like terms: -3.6 + -0.4 = -4 -0.5x = -4 Divide each side by '-0.5'. x = 8 Simplifying x = 8
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