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Simplifying 0.05x + 0.2 + -0.15x = -10.5 Reorder the terms: 0.2 + 0.05x + -0.15x = -10.5 Combine like terms: 0.05x + -0.15x = -0.1x 0.2 + -0.1x = -10.5 Solving 0.2 + -0.1x = -10.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.1x = -10.5 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.1x = -10.5 + -0.2 -0.1x = -10.5 + -0.2 Combine like terms: -10.5 + -0.2 = -10.7 -0.1x = -10.7 Divide each side by '-0.1'. x = 107 Simplifying x = 107
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