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Simplifying -0.10(8) + 0.10x = 0.05(x + -4) Multiply -0.10 * 8 -0.8 + 0.10x = 0.05(x + -4) Reorder the terms: -0.8 + 0.10x = 0.05(-4 + x) -0.8 + 0.10x = (-4 * 0.05 + x * 0.05) -0.8 + 0.10x = (-0.2 + 0.05x) Solving -0.8 + 0.10x = -0.2 + 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. -0.8 + 0.10x + -0.05x = -0.2 + 0.05x + -0.05x Combine like terms: 0.10x + -0.05x = 0.05x -0.8 + 0.05x = -0.2 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.8 + 0.05x = -0.2 + 0.00 -0.8 + 0.05x = -0.2 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.05x = -0.2 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.05x = -0.2 + 0.8 0.05x = -0.2 + 0.8 Combine like terms: -0.2 + 0.8 = 0.6 0.05x = 0.6 Divide each side by '0.05'. x = 12 Simplifying x = 12
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