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Simplifying -0.10(9) + 0.20x = 0.05(x + -6) Multiply -0.10 * 9 -0.9 + 0.20x = 0.05(x + -6) Reorder the terms: -0.9 + 0.20x = 0.05(-6 + x) -0.9 + 0.20x = (-6 * 0.05 + x * 0.05) -0.9 + 0.20x = (-0.3 + 0.05x) Solving -0.9 + 0.20x = -0.3 + 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. -0.9 + 0.20x + -0.05x = -0.3 + 0.05x + -0.05x Combine like terms: 0.20x + -0.05x = 0.15x -0.9 + 0.15x = -0.3 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.9 + 0.15x = -0.3 + 0.00 -0.9 + 0.15x = -0.3 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.15x = -0.3 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.15x = -0.3 + 0.9 0.15x = -0.3 + 0.9 Combine like terms: -0.3 + 0.9 = 0.6 0.15x = 0.6 Divide each side by '0.15'. x = 4 Simplifying x = 4
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