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Simplifying 0.10(x + -6) + 0.05x = 0.06 Reorder the terms: 0.10(-6 + x) + 0.05x = 0.06 (-6 * 0.10 + x * 0.10) + 0.05x = 0.06 (-0.6 + 0.10x) + 0.05x = 0.06 Combine like terms: 0.10x + 0.05x = 0.15x -0.6 + 0.15x = 0.06 Solving -0.6 + 0.15x = 0.06 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 + 0.15x = 0.06 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.15x = 0.06 + 0.6 0.15x = 0.06 + 0.6 Combine like terms: 0.06 + 0.6 = 0.66 0.15x = 0.66 Divide each side by '0.15'. x = 4.4 Simplifying x = 4.4
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