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Simplifying -0.10(6) + 0.10x = 0.05(x + -10) Multiply -0.10 * 6 -0.6 + 0.10x = 0.05(x + -10) Reorder the terms: -0.6 + 0.10x = 0.05(-10 + x) -0.6 + 0.10x = (-10 * 0.05 + x * 0.05) -0.6 + 0.10x = (-0.5 + 0.05x) Solving -0.6 + 0.10x = -0.5 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -0.6 + 0.10x + -0.05x = -0.5 + 0.05x + -0.05x Combine like terms: 0.10x + -0.05x = 0.05x -0.6 + 0.05x = -0.5 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.6 + 0.05x = -0.5 + 0.00 -0.6 + 0.05x = -0.5 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.05x = -0.5 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.05x = -0.5 + 0.6 0.05x = -0.5 + 0.6 Combine like terms: -0.5 + 0.6 = 0.1 0.05x = 0.1 Divide each side by '0.05'. x = 2 Simplifying x = 2
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